signature stringlengths 16 32 | problem_type stringclasses 12
values | optimization_type stringclasses 3
values | graph stringlengths 52 2.28k | solution stringlengths 235 4.05k | cost_hamiltonian stringlengths 11 5.66k | ansatz_id int64 1 18 | number_of_qubits int64 1 16 | number_of_layers int64 1 4 | exact_solution stringlengths 128 2.57k | circuit_with_params stringlengths 106 17.5k | circuit_with_symbols stringlengths 146 19.5k ⌀ | problem_specific_attributes stringclasses 116
values | adaptive_process stringlengths 33 186k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
ab38e7699e076f39debd51236acd2336 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [32, 31], "expectation_value": -0.2590701097393681, "params": [[-0.0478, 0.0675], [0.0727, -0.0415]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.01798680410233612, 0.018426690802695288], "optimization_time": 2.034536600112915} | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.75 * (Z(2) @ Z(3)) + 0.75 * (Z(5) @ Z(0)) + -1.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + 1.0 * Z(1) + -0.25 * Z(0) + -1.5 * Z(3) + 0.75 * Z(4) + 0.75 * Z(2) + -0.75 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0478) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.1195) q[3];
cx q[1], q[3];
cx q[1], q[4];
rz(0.0239) q[4];
cx q[1], q[4];
cx q[3], q[4];
rz(0.0717) q[4];
cx q[3], q[4];
cx q[3], q[2];
rz(0.0717... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
b03062475f1287ad31bf0aaec748b841 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": ... | {"states": [0, 963], "expectation_value": -20.149973189682328, "params": [0.43260000000000004, 0.9098, 0.3272, 1.6416000000000002, -0.4515, 0.5101, -0.3648, 0.5515, -0.47800000000000004, 0.6416000000000001, -0.2742, 0.36920000000000003, -0.3206, 0.5887, -0.4011, 0.36660000000000004, -0.00030000000000000003, 1.0125, -0.... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(5)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + -1.5 * (Z(2) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + -2.0 *... | 6 | 10 | 4 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["0000111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.4326) q[0];
rz(0.9098) q[0];
rx(-0.4515) q[1];
rz(0.5101) q[1];
rx(-0.478) q[2];
rz(0.6416) q[2];
rx(-0.3206) q[3];
rz(0.5887) q[3];
rx(-0.0003) q[4];
rz(1.0125) q[4];
rx(0.0011) q[5];
rz(0.8382) q[5];
rx(-0.0033) q[6];
rz(1.0829) q[6];
rx(-0.0067) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 7} | {"circuits": [], "gradients": []} |
55017fd2529a46ddcc12cdfc2413d374 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [670, 662], "expectation_value": -61.483806835993555, "params": [1.2029, 0.31620000000000004, 0.5412, 0.5348, 1.1993, 0.007200000000000001, 0.002, -0.6775, 0.0014, -0.6419, 1.2001000000000002, 0.5169, 0.8177000000000001, 0.4339, 1.2067, 0.0322, 1.2054, 0.1626, 0.5712, 0.3593, 1.2038, 0.0055000000000000005, 0... | 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(3) @ Z(7)) + 6.5 * (Z(9) @ Z(7)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(8) @ Z(9)) + 6.5 * (Z(4) @ Z(8)) + 13.5 * Z(0) + 12.5 * Z(2) + 1.5 * Z(1) + 5.0 * Z(6) + 6.0 * Z(5) + 12.5 * Z(7)... | 18 | 10 | 2 | {"smallest_eigenvalues": [-93.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.0, "smallest_bitstrings": ["0101101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.2029) q[0];
rz(0.3162) q[0];
rx(0.5412) q[1];
rz(0.5348) q[1];
rx(1.1993) q[2];
rz(0.0072) q[2];
rx(0.002) q[3];
rz(-0.6775) q[3];
rx(0.0014) q[4];
rz(-0.6419) q[4];
rx(1.2001) q[5];
rz(0.5169) q[5];
rx(0.8177) q[6];
rz(0.4339) q[6];
rx(1.2067) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
fbed7eb759f2b5af245b5b20e03cfb23 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [32, 1], "expectation_value": -7.32017922913753, "params": [[0.0558], [-0.062]], "bitstrings": ["011111", "111110"], "total_optimization_steps": 10, "probabilities": [0.02202575424912908, 0.022734523219069623], "optimization_time": 2.1975207328796387} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 2... | 16 | 6 | 1 | {"smallest_eigenvalues": [-40.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -38.0, "smallest_bitstrings": ["111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.3069) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3069) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3069) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3069) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.3069... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0... | {"k": 5} | {"circuits": [], "gradients": []} |
f5425e2e35a80eeacf86e80dfa7804fe | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"sour... | {"states": [321, 337], "expectation_value": -5.772023640736612, "params": [0.3039, 0.3017, 0.0083, 0.0014, 0.3045, 0.301, 0.1348, 0.1374, 0.2706, 0.2684, -0.0004, -0.0032, 0.0008, -0.0016, 0.0025, -0.0028, 0.30210000000000004, 0.30410000000000004, 0.3048, 0.302, 0.0023, 0.0048000000000000004, 0.3045, 0.2998, 0.135, 0.1... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + -1.5 * Z(1) ... | 13 | 9 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.5, "smallest_bitstrings": ["010101110", "110010110", "010011011", "100101110", "010011110", "110100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.3039) q[0];
ry(0.0083) q[1];
ry(0.3045) q[2];
ry(0.1348) q[3];
ry(0.2706) q[4];
ry(-0.0004) q[5];
ry(0.0008) q[6];
ry(0.0025) q[7];
ry(0.3021) q[8];
crz(-0.0083) q[8], q[0];
crz(-0.1779) q[7], q[8];
crz(0.158) q[6], q[7];
crz(-0.0238) q[5], q[6];
crz(-0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
c502b67eb6d91d909ba398fa39bec60c | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 4}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 4}, {"source": 4, "target": 1}, {"source": 4, "target": 2}, {"source": 4, "target": 3}]} | {"states": [22255, 22254], "expectation_value": -6.738056462977296, "params": [[[1.348, 0.0035], [0.47500000000000003, -0.6748000000000001], [1.5753000000000001, -0.0012000000000000001], [0.4562, 0.6807000000000001], [1.5756000000000001, 0.0017000000000000001], [1.5106000000000002, -0.0015], [0.47090000000000004, 0.671... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(12) @ Z(0)) + 0.25 * (Z(13) @ Z(1)) + 0.5 * (Z(13) @ Z(12)) + 0.25 * (Z(14) @ Z(2)) + 0.5 * (Z(14) @ Z(12)) + 0.5 * (Z(14) @ Z(13)) + 0.25 * (Z(3) @ Z(12)) + 0.25 * (Z(4) @ Z(13)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(14)) + 0.5 * (Z(5) @ Z(... | 1 | 15 | 2 | {"smallest_eigenvalues": [-8.000000000000002], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.999999999999967, "smallest_bitstrings": ["010100100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(1.348) q[0];
rz(0.0035) q[0];
rx(0.475) q[1];
rz(-0.6748) q[1];
rx(1.5753) q[2];
rz(-0.0012) q[2];
rx(0.4562) q[3];
rz(0.6807) q[3];
rx(1.5756) q[4];
rz(0.0017) q[4];
rx(1.5106) q[5];
rz(-0.0015) q[5];
rx(0.4709) q[6];
rz(0.6716) q[6];
rx(1.3065) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
199bc20adfdca6d6b6a06391ec8e4ac2 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 4, "target": 5}, ... | {"states": [99, 75], "expectation_value": -3.7906260986707565, "params": null, "bitstrings": ["0011100", "0110100"], "total_optimization_steps": 48, "probabilities": [0.047690833434271065, 0.8614512857581781], "optimization_time": 49.231689453125} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + 0.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) + -0.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["0110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5681) q[2];
ry(-1.4449) q[6];
ry(1.4449) q[0];
cry(-1.0398) q[5], q[4];
cry(-1.0398) q[3], q[1];
ry(0.7022) q[5];
ry(0.7022) q[3];
ry(-0.4578) q[1];
cry(0.497) q[0], q[3];
ry(-0.4578) q[4];
cry(0.49... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
490e84bab6ba74006dbbf5a0480fd8ae | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target":... | {"states": [69, 581], "expectation_value": -8.021195204432395, "params": [[[1.5833000000000002, 0.0037], [0.0019, 0.0061], [0.0031000000000000003, 0.0023], [2.4131, 0.0024000000000000002], [0.0025, 0.006200000000000001], [0.3924, 0.0094], [0.0014, 0.0011], [2.4011, 0.0001], [0.002, 0.0078000000000000005], [2.31, 0.0065... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(9) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -8.0, "smallest_bitstrings": ["0110011011", "0110111010", "1110100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.5833) q[0];
rz(0.0037) q[0];
rx(0.0019) q[1];
rz(0.0061) q[1];
rx(0.0031) q[2];
rz(0.0023) q[2];
rx(2.4131) q[3];
rz(0.0024) q[3];
rx(0.0025) q[4];
rz(0.0062) q[4];
rx(0.3924) q[5];
rz(0.0094) q[5];
rx(0.0014) q[6];
rz(0.0011) q[6];
rx(2.4011) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
26d7f56e59bfdf48052023802b40605b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [13, 5], "expectation_value": -1.6209516218300388, "params": [[[0.0037, 0.4036], [0.5162, 0.0488], [0.5449, 0.010700000000000001], [0.0006000000000000001, 0.46630000000000005], [0.6028, -0.0038]], [[0.0008, 0.2898], [0.5134000000000001, 0.0488], [0.5455, 0.010700000000000001], [0.0049, 0.37420000000000003], ... | 0.5 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(0) @ Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -0.75 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.75 * Z(3) + 0.0 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["11010", "10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.0037) q[0];
rz(0.4036) q[0];
rx(0.5162) q[1];
rz(0.0488) q[1];
rx(0.5449) q[2];
rz(0.0107) q[2];
rx(0.0006) q[3];
rz(0.4663) q[3];
rx(0.6028) q[4];
rz(-0.0038) q[4];
rx(0.0008) q[0];
rz(0.2898) q[0];
rx(0.5134) q[1];
rz(0.0488) q[1];
rx(0.5455) q[2];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-375593607637316818 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 4, 7], [1, 4], [3, 4, 6], [1, 2, 3, 5, 7], [2, 4, 5], [0, 1], [0, 6]]} | {"states": [93, 157], "expectation_value": -2.3098955183671244, "params": null, "bitstrings": ["10100010", "01100010"], "total_optimization_steps": 55, "probabilities": [0.06162696921223979, 0.8254415419042217], "optimization_time": 81.30397439002991} | 0.05 * (Z(0) @ Z(2)) + 0.1 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(0)) + 0.21666666666666667 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(0)) + 0.21666666666666667 * (Z(4) @ Z(3)) + 0.1 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(0)) + 0.1 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(4)) + 0.05 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.05 * (Z(1) @ Z(3... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5666666666666673], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.366666666666667, "smallest_bitstrings": ["01100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.3804) q[4];
cry(-1.3939) q[0], q[1];
ry(0.8778) q[0];
cry(-0.5781) q[4], q[1];
cry(-1.3314) q[0], q[6];
cry(0.3967) q[4], q[0];
ry(1.1241) q[3];
cry(-0.2229) q[4], q[6];
cry(0.3512) q[4], q[3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.3804) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
-5724489248087678332 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 2, 5, 6], [0, 2, 3, 6, 7, 8], [1, 2, 3, 5], [8, 4, 6], [0, 4], [8, 3, 4, 5], [8, 1, 5, 7], [1, 3, 4, 5, 7]]} | {"states": [189, 429], "expectation_value": -2.1728541468839064, "params": null, "bitstrings": ["101000010", "001010010"], "total_optimization_steps": 55, "probabilities": [0.05401997629065904, 0.9034752050337909], "optimization_time": 130.19161009788513} | 0.11666666666666667 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(8)) + 0.11666666666666667 * (Z(6) @ Z(2)) + 0.2833333333333333 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.03333333333333333 * (Z(0) @ Z(2)) + 0.03333333333333333 * (Z(0) @ Z(8)) + 0.03333333333333333 * (Z(0) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.233333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.15, "smallest_bitstrings": ["001010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5158) q[8];
ry(1.2606) q[5];
cry(-1.0129) q[0], q[4];
ry(0.7884) q[0];
cry(-0.5252) q[8], q[4];
cry(0.4919) q[8], q[0];
ry(-0.3637) q[4];
ry(0.8711) q[3];
cry(0.441) q[8], q[3];
cry(0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5158) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
ee68f24dce039a4cba3f3c3df952f527 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 4, "target": 3}, {"capaci... | {"states": [8, 27], "expectation_value": -2.291495606100743, "params": null, "bitstrings": ["110111", "100100"], "total_optimization_steps": 26, "probabilities": [0.07744130134523922, 0.6711829431980799], "optimization_time": 16.471426725387573} | 0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(4) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * Z(5) + -0.25 * Z(0) + 0.25 * Z(4) + 0.5 * Z(1) + 0.25 * Z(2) + -0.25 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["100100", "100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(1.5158) q[4], q[1];
cry(1.2167) q[1], q[4];
cry(1.3013) q[1], q[2];
ry(-1.0342) q[0];
cry(1.2575) q[4], q[5];
cry(-0.4867) q[5], q[0];
ry(-0.3085) q[5];
cry(0.5303) q[1], q[5];
ry(-0.5927) q[3];
cry(0.2354) q... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5158) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... |
0f265d41f16664956431af1416624534 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target... | {"states": [43349, 43605], "expectation_value": -1.7065576404423783, "params": [[1.4367, 0.1983, 1.5876000000000001, 0.2, 1.566, 0.24020000000000002, 1.6683000000000001, 1.5446, 0.21050000000000002, 1.5837, 0.1776, 1.5738, 0.1834, 1.6189, 0.21350000000000002, 0.2371], [1.689, 0.21430000000000002, 1.5672000000000001, 0.... | 0.25 * (Z(0) @ Z(1)) + -0.000981404958677686 * (Z(2) @ Z(0)) + -0.000981404958677686 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0001549586776859504 * (Z(4) @ Z(0)) + -0.0006714876033057851 * (Z(4) @ Z(2)) + 0.0001549586776859504 * (Z(5) @ Z(1)) + -0.0006714876033057851 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0001549... | 10 | 16 | 1 | {"smallest_eigenvalues": [-2.0191115702478917], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0191115702478433, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(1.4367) q[0];
ry(0.1983) q[1];
ry(1.5876) q[2];
ry(0.2) q[3];
ry(1.566) q[4];
ry(0.2402) q[5];
ry(1.6683) q[6];
ry(1.5446) q[7];
ry(0.2105) q[8];
ry(1.5837) q[9];
ry(0.1776) q[10];
ry(1.5738) q[11];
ry(0.1834) q[12];
ry(1.6189) q[13];
ry(0.2135) q[14];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
0d4975981166b2874d2e3fb8df49ba97 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 1, "source": 0, "t... | {"states": [246, 214], "expectation_value": -28.83228262326664, "params": [[-0.0456, 0.0001, 0.0039000000000000003, 0.0086], [0.07250000000000001, 0.06770000000000001, 0.0651, 0.0582]], "bitstrings": ["100001001", "100101001"], "total_optimization_steps": 10, "probabilities": [0.014230168910184297, 0.019623117231334575... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(8)) + 14.0 * Z(1) + 0.5 * Z(0) + 18.5 * Z(4) + 13.5 * Z(2) + 7... | 1 | 9 | 4 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["100101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.4104) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.4104) q[4];
cx q[1], q[4];
cx q[0], q[2];
rz(-0.4104) q[2];
cx q[0], q[2];
cx q[4], q[2];
rz(-0.4104) q[2];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
27f91ac61eafc4edd382d0960965a450 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [335, 327], "expectation_value": -48.53605277931305, "params": [2.4078, 0.0036000000000000003, -0.0018000000000000002, 0.0038, 2.4015, 0.0026000000000000003, 1.2151, 0.0068000000000000005, 1.0998, 0.005200000000000001, 1.5645, 0.0016, 2.3917, 0.0097, 2.3912, 0.0018000000000000002, 2.4042000000000003, 0.0008,... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(7) @ Z(8)) + 15.5 * Z(0) + -5.0 * Z(1) + 14.0 * Z(2) + 3.0 * Z(3) + 2.0 * Z(4) + 5.0 * Z(5) + 8.0 * Z(6) + 9.5 * ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["010111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(2.4078) q[0];
rz(0.0036) q[0];
rx(-0.0018) q[1];
rz(0.0038) q[1];
rx(2.4015) q[2];
rz(0.0026) q[2];
rx(1.2151) q[3];
rz(0.0068) q[3];
rx(1.0998) q[4];
rz(0.0052) q[4];
rx(1.5645) q[5];
rz(0.0016) q[5];
rx(2.3917) q[6];
rz(0.0097) q[6];
rx(2.3912) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
16391f63be9d7027ac20d9df30324c5e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"sour... | {"states": [289, 291], "expectation_value": -4.127693856221908, "params": [0.5083, 0.49970000000000003, 0.0066, -0.0018000000000000002, 0.37620000000000003, 0.3748, 0.5049, 0.5033, 0.07730000000000001, 0.0756, 0.0376, 0.0407, 0.0006000000000000001, -0.0012000000000000001, 0.3997, 0.39980000000000004, 0.5002, 0.499, 0.5... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(5) + -0.5 * Z(0) + -1.5 * Z(6) + -1.5 * Z(1) + ... | 13 | 9 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.5, "smallest_bitstrings": ["111010100", "010011110", "010101110", "110010110", "011011100", "011101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.5083) q[0];
ry(0.0066) q[1];
ry(0.3762) q[2];
ry(0.5049) q[3];
ry(0.0773) q[4];
ry(0.0376) q[5];
ry(0.0006) q[6];
ry(0.3997) q[7];
ry(0.5002) q[8];
crz(0.0002) q[8], q[0];
crz(0.0012) q[7], q[8];
crz(0.2677) q[6], q[7];
crz(0.277) q[5], q[6];
crz(-0.2562)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
a3571c19d72a014065614d323aff3379 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [52, 7], "expectation_value": -0.28900066368049737, "params": [[0.0222], [-0.0303]], "bitstrings": ["001011", "111000"], "total_optimization_steps": 10, "probabilities": [0.016178592971205247, 0.016199893565082356], "optimization_time": 2.8049685955047607} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 16 | 6 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0777) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0777) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0777) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0777) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0888... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
c... | {"k": 3} | {"circuits": [], "gradients": []} |
444b62b2304e1a19fde52e526911bdcb | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [3, 12], "expectation_value": -0.8475103500649026, "params": [[0.0656, 0.0728, 0.0584], [-0.043500000000000004, -0.06280000000000001, -0.0531]], "bitstrings": ["111100", "110011"], "total_optimization_steps": 10, "probabilities": [0.023172653080673063, 0.023172653080673088], "optimization_time": 3.6728272438... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["010111", "101101", "011101", "110011", "100111", "111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0656) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0656) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0656) q[3];
cx q[0], q[3];
cx q[1], q[5];
rz(0.0656) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0656... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
513c00093dea827c03c59c65710798db | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [116, 46], "expectation_value": -0.6956898827561042, "params": [[-0.0572, -0.049600000000000005, -0.059300000000000005, -0.0081], [0.07640000000000001, 0.0671, 0.0767, 0.047900000000000005]], "bitstrings": ["0001011", "1010001"], "total_optimization_steps": 10, "probabilities": [0.015210367778490053, 0.01595... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(5) + -1.0 * Z(6) + 0.0 * Z(1) + -0.5 * Z(2) + 0.0 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0001011", "1010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(-0.0572) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(-0.0572) q[5];
cx q[0], q[5];
cx q[3], q[6];
rz(-0.0572) q[6];
cx q[3], q[6];
cx q[6], q[1];
rz(-0.0572) q[1];
cx q[6], q[1];
cx q[3], q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
eaf152c9366c1fc70b9994ec462b6b4c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 5}, {"weight": 19, "source": 0, "target": 2}, {"weight": 12, "source": 0, "target": 3}, {"weight": 1... | {"states": [123, 122], "expectation_value": -67.81862414137746, "params": [1.1973, 0.006200000000000001, 3.1453, 0.003, 3.1457, 0.0027, 3.1455, 0.0081, 3.1457, 0.0039000000000000003, 0.8758, 0.0034000000000000002, 3.1459, 0.0037, 1.474, 0.0014, 0.008700000000000001, 0.0047, 0.008, 0.005200000000000001, 0.00680000000000... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.1973) q[0];
rz(0.0062) q[0];
rx(3.1453) q[1];
rz(0.003) q[1];
rx(3.1457) q[2];
rz(0.0027) q[2];
rx(3.1455) q[3];
rz(0.0081) q[3];
rx(3.1457) q[4];
rz(0.0039) q[4];
rx(0.8758) q[5];
rz(0.0034) q[5];
rx(3.1459) q[6];
rz(0.0037) q[6];
rx(1.474) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
bbe36c72142a04c8b1698fed3f77c25c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [3, 19], "expectation_value": -0.15659325558196344, "params": [[0.0649], [-0.0711]], "bitstrings": ["11100", "01100"], "total_optimization_steps": 10, "probabilities": [0.03328517594678955, 0.0350050369060398], "optimization_time": 1.1776752471923828} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["01100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.0649) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0649) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0649) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0649) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(0.0649) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[1], q[... | null | {"circuits": [], "gradients": []} |
-521433356081189257 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 9, 3], [0, 1, 2, 5, 6, 7, 11], [9, 2, 11, 5], [0, 1, 4, 5, 7, 8, 9, 10, 11], [9, 2, 4, 5], [0, 1, 2, 3, 4, 7, 8, 10, 11], [9, 3, 5], [0, 1, 2, 6, 7, 8, 9], [3, 9, 2, 10], [1, 2, 4, 6, 7, 8, 9], [10, 3, 6], [0, 1, 3, 4, 5, 7, 11], [0, 1, 2, 3, 4, 6, 9,... | {"states": [4021, 2997], "expectation_value": -2.754151064572796, "params": [[0.0053, 0.8195, -0.6673, 3.1366, 0.0037, 0.0055000000000000005, 0.0155, 0.0519, -0.0025, 1.5674000000000001, -0.0024000000000000002, 1.5356], [2.4483, 1.0567, 1.7065000000000001, -0.0051, 3.1405000000000003, -0.0014, 3.1312, 3.085400000000000... | 0.22817460317460317 * (Z(8) @ Z(9)) + 0.4345238095238095 * (Z(3) @ Z(9)) + 0.18055555555555555 * (Z(3) @ Z(8)) + 0.05555555555555555 * (Z(0) @ Z(9)) + 0.051587301587301584 * (Z(0) @ Z(8)) + 0.05555555555555555 * (Z(0) @ Z(3)) + 0.07936507936507936 * (Z(1) @ Z(9)) + 0.07539682539682539 * (Z(1) @ Z(8)) + 0.05555555555555... | 10 | 12 | 1 | {"smallest_eigenvalues": [-2.9146825396825395], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8849206349206344, "smallest_bitstrings": ["010001001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0053) q[0];
ry(0.8195) q[1];
ry(-0.6673) q[2];
ry(3.1366) q[3];
ry(0.0037) q[4];
ry(0.0055) q[5];
ry(0.0155) q[6];
ry(0.0519) q[7];
ry(-0.0025) q[8];
ry(1.5674) q[9];
ry(-0.0024) q[10];
ry(1.5356) q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], q[8];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
4cd28f9bc761b26f6d6f15aeccbaedea | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [13, 82], "expectation_value": -0.06703580015606547, "params": [[0.0488], [-0.0422]], "bitstrings": ["1110010", "0101101"], "total_optimization_steps": 10, "probabilities": [0.008232699157219529, 0.00823444426993303], "optimization_time": 1.281364917755127} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(4) + 0.0 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.0 * Z(6) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5, "smallest_bitstrings": ["0001111", "0010111", "0110110", "1110010", "1010011", "0101101", "1001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(0.0488) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(0.0488) q[5];
cx q[4], q[5];
cx q[5], q[1];
rz(0.0488) q[1];
cx q[5], q[1];
cx q[5], q[6];
rz(0.0488) q[6];
cx q[5], q[6];
cx q[1], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(x0) q[5];
cx q[4], q[5]... | null | {"circuits": [], "gradients": []} |
67c953665c06aafff2701bb5e40cbdc4 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [876, 364], "expectation_value": -104.29088647015843, "params": [[[0.8161, 0.059500000000000004], [0.5542, 0.0916], [0.0761, 0.062400000000000004], [0.3457, 0.5467000000000001], [0.6443, 0.6031000000000001], [0.0057, 0.45780000000000004], [0.0867, 1.0688], [0.06520000000000001, 1.0702], [0.6925, 0.7841], [0.... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(6) @ Z(1)) + 7.0 * (Z(4) @ Z(6)) + 7.0 * (Z(2) @ Z(4)) + 7.0 * (Z(3) @ Z(6)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(7) @ Z(2)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(9) @ Z(1)) + 7.0 * (Z(9) @ Z(6)) + -2.0 * Z(0) ... | 15 | 10 | 4 | {"smallest_eigenvalues": [-116.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -104.0, "smallest_bitstrings": ["1010010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.8161) q[0];
ry(0.5542) q[1];
ry(0.0761) q[2];
ry(0.3457) q[3];
ry(0.6443) q[4];
ry(0.0057) q[5];
ry(0.0867) q[6];
ry(0.0652) q[7];
ry(0.6925) q[8];
ry(0.5823) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
6b7ed53a34b4dd2aa2503ba0aafc7221 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 4, "source": 3, "target": 4}, {"capaci... | {"states": [25, 1], "expectation_value": -1.3240374472214471, "params": [[0.0634, 0.0494, 0.06470000000000001, 0.06430000000000001], [-0.0723, -0.0381, -0.0456, -0.050800000000000005]], "bitstrings": ["100110", "111110"], "total_optimization_steps": 10, "probabilities": [0.03144672845107422, 0.036001330093428915], "opt... | -0.75 * (Z(0) @ Z(3)) + -0.75 * (Z(1) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -1.75 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + -0.75 * Z(2) + 0.5 * Z(1) + 0.5 * Z(5) + 0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(-0.0951) q[0];
cx q[3], q[0];
cx q[2], q[1];
rz(-0.0951) q[1];
cx q[2], q[1];
cx q[0], q[5];
rz(0.1268) q[5];
cx q[0], q[5];
cx q[1], q[5];
rz(-0.0634) q[5];
cx q[1], q[5];
cx q[3], q[4];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
52d445418826abb1edfe2507a27ebafb | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 5}, {"weight": 3, "source": 2, "target": 3}, {"... | {"states": [111, 110], "expectation_value": -21.69306787460545, "params": [[-0.028200000000000003, -0.0257, -0.006500000000000001, -0.0036000000000000003], [0.0511, 0.0634, 0.0591, 0.0577]], "bitstrings": ["10010000", "10010001"], "total_optimization_steps": 10, "probabilities": [0.019084654519015417, 0.024558948080190... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 8.5 * Z(1) + 3.0 * Z(0) + 14.0 * Z(2) + 9.5 * Z(4) + 5.5 * Z(3) + 11.0 * Z(5) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.2256) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.2256) q[2];
cx q[0], q[2];
cx q[2], q[4];
rz(-0.2256) q[4];
cx q[2], q[4];
cx q[4], q[3];
rz(-0.2256) q[3];
cx q[4], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
0a3673ffdac65321bbf7b0925b451cf8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 7, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 7, "source": 1, "target": 8}, {"capac... | {"states": [265, 267], "expectation_value": -19.122572525246813, "params": [[-0.0058000000000000005, -0.7962, 0.012100000000000001, -0.0004, -0.0011, 0.015600000000000001, -0.7779, -0.0012000000000000001, 0.40040000000000003, 0.9244], [0.0013000000000000002, -0.9263, -0.0054, 0.0046, 0.0008, 0.0023, -0.8666, -0.0034000... | -1.75 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(8) @ Z(2)) + -1.75 * (Z(1) @ Z(8)) + -2.0 * (Z(4) @ Z(3)) + -1.0 * (Z(7) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(8)) + -0.75 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + 2.5 * (Z(9) @ ... | 10 | 10 | 4 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["1011110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0058) q[0];
ry(-0.7962) q[1];
ry(0.0121) q[2];
ry(-0.0004) q[3];
ry(-0.0011) q[4];
ry(0.0156) q[5];
ry(-0.7779) q[6];
ry(-0.0012) q[7];
ry(0.4004) q[8];
ry(0.9244) q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
16efd0d1722058bdcecd0a47f621047a | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 5}, {"weight": 17, "source": 0, "target": 4}, {"weight": 14, "source": 1, "target": 2}, {"weight": 1... | {"states": [106, 122], "expectation_value": -36.307996635901624, "params": null, "bitstrings": ["10010101", "10000101"], "total_optimization_steps": 100, "probabilities": [0.11792938375629661, 0.18104407076086781], "optimization_time": 149.97321939468384} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(1)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(4)) + 3.5 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-66.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(8.8595) q[1];
ry(26.9543) q[4];
cry(5.0747) q[4], q[1];
ry(10.6339) q[3];
ry(63.516) q[6];
cry(62.7114) q[4], q[6];
cry(62.7787) q[1], q[6];
ry(2.3034) q[2];
cry(16.178) q[2], q[6];
ry(1.1707) ... | null | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(8.8595) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
7f5a9dfb1e236bee4145d5b6dc87f612 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [75, 91], "expectation_value": -5.999841689300217, "params": [-0.00030000000000000003, 0.759, -0.7617, 0.0089, -0.0601, -0.41650000000000004, 0.9715, 0.2222, 0.5223, 0.2929, -0.0022, 0.4645, 0.7907000000000001, 0.2665, -0.7467, -0.0009000000000000001, 0.0047, 0.8500000000000001, -0.7527, 0.0054, -0.0516, -0.... | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -1.0 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(0) @ Z(5)) + -1.0 * (Z(0) @ Z(6)) + -0.5 * Z(1) + 1.5 * Z(5) + -0.5 * Z(2) + 3.0 * Z(6) + 0.5 * Z(3) + 0.0... | 16 | 8 | 4 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["10100100", "11000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0003) q[0];
rz(0.759) q[0];
rx(-0.7617) q[1];
rz(0.0089) q[1];
rx(-0.0601) q[2];
rz(-0.4165) q[2];
rx(0.9715) q[3];
rz(0.2222) q[3];
rx(0.5223) q[4];
rz(0.2929) q[4];
rx(-0.0022) q[5];
rz(0.4645) q[5];
rx(0.7907) q[6];
rz(0.2665) q[6];
rx(-0.7467) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
df6b0a55435c2e6f48611bfeaa2a8959 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "so... | {"states": [47, 55], "expectation_value": -3.731035313112881, "params": [[0.1588, 0.1399, 0.1496], [-0.1802, -0.1612, -0.1715]], "bitstrings": ["11010000", "11001000"], "total_optimization_steps": 20, "probabilities": [0.030974465107069717, 0.030974465107069724], "optimization_time": 7.199093580245972} | 0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.5 ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["10100000", "11001000", "11010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[0];
rz(0.1588) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(-0.1588) q[1];
cx q[5], q[1];
cx q[0], q[1];
rz(-0.1588) q[1];
cx q[0], q[1];
cx q[5], q[2];
rz(-0.1588) q[2];
cx q[5], q[2];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
-8257020908422260613 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 2, 7], [2, 4], [0, 10, 11, 4], [1, 2], [0, 2, 3, 8, 9, 11], [9, 10, 11, 1], [8, 11, 3, 6], [8, 3, 10, 11], [1, 5, 6, 7, 10], [1, 4], [0, 1, 11], [11, 4, 5], [8, 2, 10, 5], [0, 7], [11, 2, 3, 6], [3, 2, 10], [9, 10, 5], [3, 6, 7], [8, 0, 10, 3], [9, 6]... | {"states": [1879, 1895], "expectation_value": -4.819249709445562, "params": [[[-0.0025, 0.0078000000000000005, 0.0054, 0.0058000000000000005], [1.0336, -0.0024000000000000002, 1.0579, 0.0013000000000000002], [3.1384000000000003, 0.0061, 0.0061, 0.0035], [0.0027, -1.4617, 1.5682, 0.0008], [0.0028, 0.0022, 0.0094, 0.0008... | 0.19999999999999998 * (Z(11) @ Z(4)) + 0.16666666666666666 * (Z(9) @ Z(4)) + 0.16666666666666666 * (Z(9) @ Z(11)) + 0.5 * (Z(6) @ Z(4)) + 0.03333333333333333 * (Z(0) @ Z(4)) + 0.03333333333333333 * (Z(0) @ Z(11)) + 0.5 * (Z(0) @ Z(9)) + 0.08333333333333333 * (Z(0) @ Z(6)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(11)) ... | 12 | 12 | 1 | {"smallest_eigenvalues": [-4.983333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.933333333333335, "smallest_bitstrings": ["100010011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0025) q[0];
rz(0.0078) q[0];
ry(1.0336) q[1];
rz(-0.0024) q[1];
ry(3.1384) q[2];
rz(0.0061) q[2];
ry(0.0027) q[3];
rz(-1.4617) q[3];
ry(0.0028) q[4];
rz(0.0022) q[4];
ry(0.6793) q[5];
rz(0.0021) q[5];
ry(1.5868) q[6];
rz(0.0062) q[6];
ry(1.5681) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5977c975ee74442620a2f317f357b942 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 7}, {"source": 2, "target": 5}, {"source": 2, "ta... | {"states": [415, 411], "expectation_value": -1.9586623350548487, "params": [[[-0.002, 0.0067], [1.8933, 0.004], [1.9040000000000001, 0.001], [0.7152000000000001, 0.0011], [0.23820000000000002, 0.0089], [1.8998000000000002, 0.0049], [1.8961000000000001, 0.0081], [1.5322, 0.0082], [1.9088, 0.0085], [1.9006, 0.0027]]], "b... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(1) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(1) @ Z(6) @ Z(7)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(0) @ Z(6) @ Z(2)) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-4.375, -4.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.375, "smallest_bitstrings": ["1001100100", "1100100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.002) q[0];
rz(0.0067) q[0];
rx(1.8933) q[1];
rz(0.004) q[1];
rx(1.904) q[2];
rz(0.001) q[2];
rx(0.7152) q[3];
rz(0.0011) q[3];
rx(0.2382) q[4];
rz(0.0089) q[4];
rx(1.8998) q[5];
rz(0.0049) q[5];
rx(1.8961) q[6];
rz(0.0081) q[6];
rx(1.5322) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
a3571c19d72a014065614d323aff3379 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [39, 7], "expectation_value": -1.321405710178079, "params": [[[0.3264, -0.0383], [0.2857, -0.09090000000000001], [0.2761, 0.1041], [0.4652, -0.006900000000000001], [0.4625, -0.0039000000000000003], [0.46240000000000003, 0.0048000000000000004]], [[0.3287, -0.0385], [0.2907, -0.091], [0.275, 0.1043], [0.4627, ... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 1 | 6 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.3264) q[0];
rz(-0.0383) q[0];
rx(0.2857) q[1];
rz(-0.0909) q[1];
rx(0.2761) q[2];
rz(0.1041) q[2];
rx(0.4652) q[3];
rz(-0.0069) q[3];
rx(0.4625) q[4];
rz(-0.0039) q[4];
rx(0.4624) q[5];
rz(0.0048) q[5];
rx(0.3287) q[0];
rz(-0.0385) q[0];
rx(0.2907) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
ccc75c37fec3353f90dd581f2dccee63 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [112, 28], "expectation_value": -0.30987449838266246, "params": [[0.0181, 0.0375, -0.0597], [-0.0201, -0.0468, 0.0275]], "bitstrings": ["0001111", "1100011"], "total_optimization_steps": 10, "probabilities": [0.008654272844387032, 0.008654272844387037], "optimization_time": 5.330444574356079} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + -1.5 * Z(4) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["0001111", "0100111", "1100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(0.0181) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(0.0181) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(0.0181) q[5];
cx q[0], q[5];
cx q[4], q[6];
rz(0.0181) q[6];
cx q[4], q[6];
cx q[0], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
ea2e3a0d0378f3ac5c8809953eb5c8b9 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [76, 51], "expectation_value": -0.18782278734191257, "params": [[0.0711], [-0.0663]], "bitstrings": ["0110011", "1001100"], "total_optimization_steps": 10, "probabilities": [0.009081896320131361, 0.009222452407270605], "optimization_time": 1.2514030933380127} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(6) + -1.5 * Z(4) + 0.0 * Z(1) + -0.5 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.0711) q[0];
cx q[2], q[0];
cx q[0], q[5];
rz(0.0711) q[5];
cx q[0], q[5];
cx q[0], q[6];
rz(0.0711) q[6];
cx q[0], q[6];
cx q[2], q[4];
rz(0.0711) q[4];
cx q[2], q[4];
cx q[5], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5]... | null | {"circuits": [], "gradients": []} |
1adba468d08e1435f811ffca287d3635 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 5}, {"capac... | {"states": [0, 1], "expectation_value": -17.90184511020461, "params": [-0.0037, -0.10550000000000001, -0.0032, -0.12140000000000001, -0.0007, 0.15710000000000002, 0.0054, 0.1691, 0.0038, 0.1598, -0.0006000000000000001, 0.15910000000000002, -0.0005, 0.169, 0.004, 0.1612, 0.0028, 0.1631, 0.0019, 0.1574, 0.0023, 0.1663, 0... | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -1.25 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(3)) + -1.0 * (Z(8) @ Z(0)) + -1.25 * (Z(8) @ Z(6)) + -1.0 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(8)) + -0.75 * (Z(9) @ Z(1)) + 4.75 * (Z(9) @ Z(0)) + -0.75 * (Z(9)... | 7 | 10 | 4 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.25, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0037) q[0];
rz(-0.1055) q[0];
rx(-0.0007) q[1];
rz(0.1571) q[1];
rx(0.0038) q[2];
rz(0.1598) q[2];
rx(-0.0005) q[3];
rz(0.169) q[3];
rx(0.0028) q[4];
rz(0.1631) q[4];
rx(0.0023) q[5];
rz(0.1663) q[5];
rx(0.002) q[6];
rz(0.1712) q[6];
rx(0.0031) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
8f570f960f63671d4142917816c3a15b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [432, 436], "expectation_value": -2.869101025331738, "params": [[[-0.0013000000000000002, 0.0016], [2.853, 0.1706], [0.17070000000000002, -0.0193], [0.49620000000000003, 2.8596], [0.6045, -0.5437000000000001], [0.49870000000000003, 2.6425], [1.4167, -2.6253], [0.0037, 0.5022], [2.9686000000000003, 0.0032]]],... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 15 | 9 | 1 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.75, "smallest_bitstrings": ["001100011", "100001011", "101000011", "010001011", "001010011", "001001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0013) q[0];
ry(2.853) q[1];
ry(0.1707) q[2];
ry(0.4962) q[3];
ry(0.6045) q[4];
ry(0.4987) q[5];
ry(1.4167) q[6];
ry(0.0037) q[7];
ry(2.9686) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
9b45b5fdea58b397fa5dd9ec63b0a714 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [50, 57], "expectation_value": -1.4639787159213589, "params": [[0.07590000000000001, 0.0668, 0.07540000000000001, 0.0674], [-0.0873, -0.0679, -0.07490000000000001, -0.0634]], "bitstrings": ["1001101", "1000110"], "total_optimization_steps": 10, "probabilities": [0.019230015047145686, 0.022675745567736338], "... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(6) + -1.5 * Z(4) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0759) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0759) q[2];
cx q[0], q[2];
cx q[0], q[6];
rz(0.0759) q[6];
cx q[0], q[6];
cx q[1], q[4];
rz(0.0759) q[4];
cx q[1], q[4];
cx q[2], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
eb838adb6a1c441f832f8b409328615c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "... | {"states": [3608, 4088], "expectation_value": -23.093077367568732, "params": [2.213, 0.9236000000000001, -0.0024000000000000002, -0.0025, 0.0053, -0.0026000000000000003, -0.8629, -0.9552, -0.024200000000000003, -0.019700000000000002, 0.0601, -0.0115, 0.5781000000000001, -0.2205, 2.1475, 0.9811000000000001, -0.002400000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(10)) + -2.0 * (Z(11) @ Z(10)) + -2.0 * (Z(11) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z... | 14 | 12 | 1 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["000000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(2.213) q[0];
ry(-0.0024) q[1];
ry(0.0053) q[2];
ry(-0.8629) q[3];
ry(-0.0242) q[4];
ry(0.0601) q[5];
ry(0.5781) q[6];
ry(2.1475) q[7];
ry(-0.0024) q[8];
ry(-0.0027) q[9];
ry(-0.0029) q[10];
ry(-0.0027) q[11];
crx(2.5418) q[11], q[0];
crx(3.642) q[10], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 11} | {"circuits": [], "gradients": []} |
655689708e73cb2de5fff319b9c5049e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [59, 58], "expectation_value": -3.953558098048407, "params": [0.002, -0.3039, 0.1968, 0.0022, 2.3739, -0.0026000000000000003, 2.4, 0.003, 2.4010000000000002, -0.056100000000000004, 0.0022, -0.8481000000000001, 2.4038, 0.0032, 1.4434, 0.0046, -0.0026000000000000003, -0.19190000000000002, 0.7785000000000001, 0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + -0.5 * Z(2) + -0.5 * Z(0) + 0.0 * Z(6) + -0.5 * Z(4) + -1.0 * Z(1) + -1.5 * Z(5) + -1.0 * Z(7) + 0.0 * Z(3) | 4 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["11000101", "11001100", "10001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.002) q[0];
rz(-0.3039) q[0];
rx(0.1968) q[1];
rz(0.0022) q[1];
rx(2.3739) q[2];
rz(-0.0026) q[2];
rx(2.4) q[3];
rz(0.003) q[3];
rx(2.401) q[4];
rz(-0.0561) q[4];
rx(0.0022) q[5];
rz(-0.8481) q[5];
rx(2.4038) q[6];
rz(0.0032) q[6];
rx(1.4434) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
43f346f2449aaad74bd3d1617b2cab32 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [86, 89], "expectation_value": -0.21284071563277032, "params": [[0.07880000000000001, 0.07350000000000001], [-0.0777, -0.0627]], "bitstrings": ["0101001", "0100110"], "total_optimization_steps": 10, "probabilities": [0.011094830461869726, 0.01109647357873155], "optimization_time": 4.377906799316406} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2) @ Z(5)) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100110", "0101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0394) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0394) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0394) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0394) q[0];
cx q[1], q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} |
72cfe75303481c7afddd417072d0a1f6 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"sour... | {"states": [352, 480], "expectation_value": -5.346140894458449, "params": [0.908, -0.0018000000000000002, 0.9028, 0.002, 0.8611000000000001, -0.001, 0.8591000000000001, 0.0061, 0.9008, 0.0011, 0.8998, 0.0032, 0.9043, 0.0009000000000000001, 0.9107000000000001, 0.0018000000000000002, -0.0015, 0.522, -0.0014, 0.0013000000... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) ... | 7 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.0, "smallest_bitstrings": ["010111001", "110011010", "010011011", "000011111", "100011110", "000111101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.908) q[0];
rz(-0.0018) q[0];
rx(0.8611) q[1];
rz(-0.001) q[1];
rx(0.9008) q[2];
rz(0.0011) q[2];
rx(0.9043) q[3];
rz(0.0009) q[3];
rx(-0.0015) q[4];
rz(0.522) q[4];
rx(-0.0022) q[5];
rz(0.5889) q[5];
rx(0.7095) q[6];
rz(-0.0694) q[6];
rx(0.2186) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
e4c65d82be0d39aa5a43dd21b25413c9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 11, "source": 1, "target": 5}, {"weight": 1... | {"states": [158, 122], "expectation_value": -10.059218192118605, "params": [[-0.0034000000000000002, -0.0388, 0.0558], [-0.0067, 0.0613, -0.0162]], "bitstrings": ["01100001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.006669186791482175, 0.007526165077520276], "optimization_time": 6.95667552947998... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) @ Z(4)) + 3.5 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.0238) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0238) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0238) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(-0.0238) q[3];
cx q[2], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
3364d8ea5b92ff0a5d6a88ae437c4a95 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [318, 310], "expectation_value": -22.637312939464923, "params": [1.0067000000000002, 0.306, 0.37360000000000004, 0.5238, 0.1658, 0.7192000000000001, 1.0049000000000001, 0.0143, 0.9984000000000001, 0.2718, 0.8235, 0.3279, 1.0043, 0.0036000000000000003, 1.0055, 0.2832, 0.7724000000000001, 0.316, 1.008800000000... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(8) @ Z(6)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(7) @ Z(8)) + 6.0 * Z(0) + -1.5 * Z(1) + -3.0 * Z(2) + -1.0 * Z(3) + 8.0 * Z(4) + 3.0 * Z(5) + 15.5 * Z(6) + 2.0 * Z(8) + 7.5 * Z(7) | 18 | 9 | 2 | {"smallest_eigenvalues": [-61.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["011001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.0067) q[0];
rz(0.306) q[0];
rx(0.3736) q[1];
rz(0.5238) q[1];
rx(0.1658) q[2];
rz(0.7192) q[2];
rx(1.0049) q[3];
rz(0.0143) q[3];
rx(0.9984) q[4];
rz(0.2718) q[4];
rx(0.8235) q[5];
rz(0.3279) q[5];
rx(1.0043) q[6];
rz(0.0036) q[6];
rx(1.0055) q[7];
rz(0.2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
33f87d8b006507f35f4d20e43beeca46 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [169, 215], "expectation_value": -1.5455204211061653, "params": [[[0.39530000000000004, 0.0969], [0.39080000000000004, 0.0906], [0.368, 0.1233], [0.4068, 0.0999], [0.38330000000000003, 0.2427], [0.39980000000000004, 0.2182], [0.379, 0.36960000000000004], [0.3648, 0.3482], [0.31930000000000003, 0.3498], [0.39... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(5) @ Z(6) @ Z(7)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(8) @ Z(0)) + 0.125 * (Z(9) @ Z(0)) + 0.125 * (Z(8) @ Z(5)) + 0.125 * (Z(9) @ Z(5)) + 0.125 * (Z(8) @ Z(9)) + -0.125 * (Z(8) @ Z(0) @ Z(5)) + ... | 15 | 10 | 4 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.625, "smallest_bitstrings": ["1100100100", "1100110000", "1100101000", "1101000100", "1011000100", "1010101000", "1011010000", "1011001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.3953) q[0];
ry(0.3908) q[1];
ry(0.368) q[2];
ry(0.4068) q[3];
ry(0.3833) q[4];
ry(0.3998) q[5];
ry(0.379) q[6];
ry(0.3648) q[7];
ry(0.3193) q[8];
ry(0.3993) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
2ecd5cf8bb1f2f072e3465d49b3fe4a0 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"sour... | {"states": [44, 45], "expectation_value": -5.960971528971779, "params": [-0.0035, 0.0005, 0.0038, 0.0011, 0.3904, 0.0035, 1.6074000000000002, 0.0063, 0.0033, 0.0089, 1.6146, 0.0066, 1.6121, 0.0078000000000000005, 0.5291, 0.0088, 1.5987, 0.0, 0.0027, 0.0046, 0.0064, 0.001, 0.0067, 0.008, 0.0019, 0.004200000000000001], "... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(7) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["111010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0035) q[0];
rz(0.0005) q[0];
rx(0.0038) q[1];
rz(0.0011) q[1];
rx(0.3904) q[2];
rz(0.0035) q[2];
rx(1.6074) q[3];
rz(0.0063) q[3];
rx(0.0033) q[4];
rz(0.0089) q[4];
rx(1.6146) q[5];
rz(0.0066) q[5];
rx(1.6121) q[6];
rz(0.0078) q[6];
rx(0.5291) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
535499520343066594 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 6], [0, 2, 3], [0, 3, 4], [1, 2, 3, 5, 6], [5, 7]]} | {"states": [59, 236], "expectation_value": -0.45127274454902705, "params": [[-0.26730000000000004], [0.2763]], "bitstrings": ["11000100", "00010011"], "total_optimization_steps": 30, "probabilities": [0.007967264538260873, 0.007980943425974388], "optimization_time": 2.677274227142334} | 0.5 * (Z(0) @ Z(6)) + 0.05 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.05 * (Z(3) @ Z(6)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.21666666666666667 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.05 * (Z(1) @ Z(6)) + 0.05 * (Z(1) @ Z(2)) + 0.05 * (Z(1) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.8666666666666671], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8666666666666667, "smallest_bitstrings": ["00010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[0];
rz(-0.2673) q[0];
cx q[6], q[0];
cx q[6], q[2];
rz(-0.0267) q[2];
cx q[6], q[2];
cx q[0], q[2];
rz(-0.0891) q[2];
cx q[0], q[2];
cx q[6], q[3];
rz(-0.0267) q[3];
cx q[6], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} |
438c99c8c1eb01b75ba0d10b2b9c843f | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1174, 1173], "expectation_value": -99.83840921809123, "params": [[[1.5732000000000002, 1.5688], [-0.7785000000000001, 1.5688], [-1.2670000000000001, 1.2742], [1.5735000000000001, 1.5735000000000001], [-1.5689000000000002, 1.5735000000000001], [-1.5683, 1.5730000000000002], [1.5726, 1.5687], [1.5729, 1.5727]... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(3) @ Z(0)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(2) @ Z(6)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(7) @ Z(0)) + 7.0 * (Z(7) @ Z(3)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(10) @ Z(6)) + 7.0 * (Z(10) @ Z(2)) + 7.0 * (Z(10) @ Z(8)) + 7.0 * (Z(9) @ Z(10)) + 12.5 * Z... | 15 | 11 | 1 | {"smallest_eigenvalues": [-131.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -112.0, "smallest_bitstrings": ["01101101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.5732) q[0];
ry(-0.7785) q[1];
ry(-1.267) q[2];
ry(1.5735) q[3];
ry(-1.5689) q[4];
ry(-1.5683) q[5];
ry(1.5726) q[6];
ry(1.5729) q[7];
ry(1.5728) q[8];
ry(1.5725) q[9];
ry(1.573) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
9915ff93784d747e82bcd9a73a2399e5 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [8, 9], "expectation_value": -1.7899924702501313, "params": [[[0.1517, 0.232], [0.6087, -0.0026000000000000003], [0.0041, 0.45570000000000005], [-0.0008, 0.317], [0.5986, -0.0035]], [[0.1559, 0.2321], [0.6027, -0.0026000000000000003], [0.0007, 0.44880000000000003], [0.0019, -0.249], [0.6042000000000001, -0.0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(4)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + -0.125 * (Z(1) @ Z(4) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(3) @ Z(4) @ Z(2)) + 0.12... | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.625, "smallest_bitstrings": ["10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.1517) q[0];
rz(0.232) q[0];
rx(0.6087) q[1];
rz(-0.0026) q[1];
rx(0.0041) q[2];
rz(0.4557) q[2];
rx(-0.0008) q[3];
rz(0.317) q[3];
rx(0.5986) q[4];
rz(-0.0035) q[4];
rx(0.1559) q[0];
rz(0.2321) q[0];
rx(0.6027) q[1];
rz(-0.0026) q[1];
rx(0.0007) q[2];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
9106470436006913530 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 3], [2, 3], [0, 1], [1, 2], [0, 2], [0, 4], [1, 5], [4, 5], [2, 4]]} | {"states": [37, 41], "expectation_value": -0.06828246719584147, "params": [[0.061500000000000006], [-0.0629]], "bitstrings": ["011010", "010110"], "total_optimization_steps": 10, "probabilities": [0.01684070574045271, 0.01684070574045271], "optimization_time": 0.48766493797302246} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.5, "smallest_bitstrings": ["101001", "100101", "010010", "101101", "010110", "011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[1];
rz(0.0615) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.0615) q[2];
cx q[3], q[2];
cx q[1], q[2];
rz(0.0615) q[2];
cx q[1], q[2];
cx q[1], q[0];
rz(0.0615) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0615... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[1], q[0];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
4b2b5ba04f490b1a55b5e14f626537a5 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [3038, 3036], "expectation_value": -2.337795984025031, "params": [1.0988, 0.0376, 0.3643, 0.45320000000000005, 1.1014000000000002, -0.0726, 0.7823, -0.0032, 1.0974000000000002, -0.0011, 1.0994000000000002, -0.0018000000000000002, 0.0083, 0.1605, 1.1025, 0.0465, 1.0922, -0.0723, 1.0941, -0.3774, 0.7632, 0.410... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 4 | 12 | 2 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 20, "first_excited_energy": -2.875, "smallest_bitstrings": ["100000110010", "001000101010", "010001... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.0988) q[0];
rz(0.0376) q[0];
rx(0.3643) q[1];
rz(0.4532) q[1];
rx(1.1014) q[2];
rz(-0.0726) q[2];
rx(0.7823) q[3];
rz(-0.0032) q[3];
rx(1.0974) q[4];
rz(-0.0011) q[4];
rx(1.0994) q[5];
rz(-0.0018) q[5];
rx(0.0083) q[6];
rz(0.1605) q[6];
rx(1.1025) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
3032900268526080703 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4], [3, 5], [0, 1], [1, 6], [3, 7], [2, 4], [3, 4], [1, 7], [4, 6], [0, 5], [2, 7], [1, 3], [1, 2], [5, 6], [0, 7]]} | {"states": [243, 178], "expectation_value": -4.676682972075539, "params": null, "bitstrings": ["00001100", "01001101"], "total_optimization_steps": 72, "probabilities": [0.05628495783754454, 0.8275117906197008], "optimization_time": 116.88976216316223} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["01001101", "10110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[7], q[1];
cry(-1.0342) q[6], q[5];
ry(1.0293) q[6];
cry(1.4052) q[6], q[0];
cry(-0.9035) q[0], q[5];
cry(1.5176) q[0], q[3];
cry(-0.8573) q[0], q[1];
cry(-1.4434) q[6], q[4];
ry(1.5... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[7], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
918d0720354f72593c99e149eea5ed01 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [100, 70], "expectation_value": -5.49646409782871, "params": null, "bitstrings": ["0011011", "0111001"], "total_optimization_steps": 27, "probabilities": [0.0663487102747117, 0.9303659638128935], "optimization_time": 23.61222219467163} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(2) + -1.0 * Z(0) + -2.0 * Z(3) + -1.5 * Z(6) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011011", "0111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(-1.5681) q[2];
ry(-1.5681) q[6];
ry(1.4449) q[4];
ry(1.4449) q[0];
cry(-1.0343) q[5], q[1];
ry(0.7003) q[5];
ry(-0.4549) q[1];
cry(0.4963) q[4], q[5];
cry(-0.3789) q[4], q[1];
cry(0.2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
c0298473ff578e743a7bebe70d7bc35e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [17, 25], "expectation_value": -2.3144491080260696, "params": [0.1947, 0.0439, 0.1986, 0.035300000000000005, 0.0025, -0.1489, -0.0036000000000000003, -0.1615, 0.2024, 0.0118, 0.1978, 0.0011, 0.2011, 0.055200000000000006, 0.19240000000000002, 0.0367, -0.00030000000000000003, -0.1568, 0.0049, -0.1489, -0.00290... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(5) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(3) @ Z(4) @ Z(6)) ... | 5 | 7 | 4 | {"smallest_eigenvalues": [-3.75, -3.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.75, "smallest_bitstrings": ["1100110", "0101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.1947) q[0];
rz(0.0439) q[0];
rx(0.0025) q[1];
rz(-0.1489) q[1];
rx(0.2024) q[2];
rz(0.0118) q[2];
rx(0.2011) q[3];
rz(0.0552) q[3];
rx(-0.0003) q[4];
rz(-0.1568) q[4];
rx(-0.0029) q[5];
rz(-0.1285) q[5];
rx(0.2012) q[6];
rz(0.0106) q[6];
crz(-0.0133) q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
b225dc27587691a09940c252e8d9e2d6 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [74, 106], "expectation_value": -3.5307829967171402, "params": [-0.0023, 0.0027, 1.6044, 0.0098, 1.5993000000000002, 0.0019, 0.12050000000000001, 0.0038, 1.6032000000000002, 0.0068000000000000005, 0.377, 0.009600000000000001, 1.6131, 0.01, 0.0013000000000000002, 0.0005, 0.0033, 0.005, 0.0017000000000000001, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(3) + 0.0 * Z(6) + -1.5 * Z(7) + -0.5 * Z(... | 3 | 8 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["10010101", "10001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0023) q[0];
rz(0.0027) q[0];
rx(1.6044) q[1];
rz(0.0098) q[1];
rx(1.5993) q[2];
rz(0.0019) q[2];
rx(0.1205) q[3];
rz(0.0038) q[3];
rx(1.6032) q[4];
rz(0.0068) q[4];
rx(0.377) q[5];
rz(0.0096) q[5];
rx(1.6131) q[6];
rz(0.01) q[6];
rx(0.0013) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-1317166650248583423 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3], [1, 3, 7], [3, 6], [1, 4], [5, 7]]} | {"states": [84, 212], "expectation_value": -2.0286777389998143, "params": null, "bitstrings": ["10101011", "00101011"], "total_optimization_steps": 51, "probabilities": [0.1200330488139567, 0.5962702858353408], "optimization_time": 70.8341736793518} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.16666666666666666 * Z(2)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.833333333333334, "smallest_bitstrings": ["11000110", "01100110", "00101011", "00011100", "10001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.2292) q[3];
cry(-1.4328) q[3], q[6];
cry(-1.0342) q[1], q[4];
ry(0.7191) q[1];
cry(-1.1437) q[5], q[7];
ry(0.7359) q[5];
ry(-0.4992) q[7];
cry(0.5016) q[3], q[5];
ry(-0.4711) q[4];
cry(0.5683... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.2292) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
047a6db213ec2347412434e39dcab446 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "so... | {"states": [250, 249], "expectation_value": -9.068318980557184, "params": null, "bitstrings": ["11100000101", "11100000110"], "total_optimization_steps": 100, "probabilities": [0.12394866297169427, 0.7185965718646129], "optimization_time": 330.56320428848267} | -0.5 * (Z(9) @ Z(2)) + -0.5 * (Z(10) @ Z(2)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @ Z(10)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(9)) + -1.0 * (Z(4) @ Z(10)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(10)) + 0.5 * (Z(5) @ Z(3)) +... | 1 | 11 | 1 | {"smallest_eigenvalues": [-9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332], "number_of_sm... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
ry(1.5708) q[4];
ry(1.5708) q[3];
cry(-1.5681) q[4], q[1];
cry(-1.5592) q[4], q[0];
cry(-1.5486) q[10], q[9];
cry(1.3016) q[2], q[7];
cry(1.0057) q[7], q[10];
ry(1.4223)... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = me... |
b3430a7a5a7846c97441f35820d47c84 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [33, 97], "expectation_value": -5.071943097586519, "params": null, "bitstrings": ["1011110", "0011110"], "total_optimization_steps": 38, "probabilities": [0.13262953598809551, 0.6775037254021123], "optimization_time": 32.65999889373779} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(-1.5708) q[5];
ry(-1.4449) q[0];
cry(-1.0398) q[1], q[4];
cry(-1.0398) q[6], q[2];
ry(0.7022) q[6];
ry(0.7022) q[1];
ry(-0.4578) q[2];
ry(-0.4578) q[4];
cry(0.4586) q[6], q[1];
cry(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
b0dd1050887f092ff1c439d2cb12f6fe | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [0, 1], "expectation_value": -9.374142178694552, "params": [0.0035, 0.44370000000000004, 0.0027, 0.5860000000000001, 0.0028, 0.5937, -0.0025, 0.5945, 0.0025, 0.5999, 0.0023, 0.6059, 0.0027, -0.5891000000000001, 0.8077000000000001, 0.0044, 0.003, 0.0012000000000000001, 0.0027, 0.0032, 0.0028, 0.0056, -0.0025,... | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(1)) + 2.0 * (Z(7) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(5) + -0.25 * Z(6) + 1.5 * ... | 3 | 8 | 2 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0035) q[0];
rz(0.4437) q[0];
rx(0.0027) q[1];
rz(0.586) q[1];
rx(0.0028) q[2];
rz(0.5937) q[2];
rx(-0.0025) q[3];
rz(0.5945) q[3];
rx(0.0025) q[4];
rz(0.5999) q[4];
rx(0.0023) q[5];
rz(0.6059) q[5];
rx(0.0027) q[6];
rz(-0.5891) q[6];
rx(0.8077) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
3531386beba6b0774804490460b57cef | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "s... | {"states": [257, 1], "expectation_value": -19.913708566016542, "params": null, "bitstrings": ["011111110", "111111110"], "total_optimization_steps": 36, "probabilities": [0.04673220772743421, 0.9097832282469951], "optimization_time": 47.35063409805298} | -1.0 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(5)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5709) q[8];
ry(-0.9755) q[0];
ry(-1.5708) q[6];
cry(0.4025) q[8], q[0];
cry(-0.9979) q[7], q[0];
ry(-1.5708) q[5];
ry(-1.5708) q[4];
ry(-1.5708) q[3];
ry(-1.5708) q[2];
ry(-1.5708) q[... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5709) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
e0e7442cfd5f4a9b9e7fac5624eafbe7 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [2627, 2595], "expectation_value": -124.65817069387865, "params": [1.5755000000000001, -0.0023, -0.0025, 2.0676, 1.7557, 0.0091, -0.0024000000000000002, 1.5849, 0.0031000000000000003, -0.6638000000000001, 1.6927, -0.4047, -1.5552000000000001, 0.4904, -0.0039000000000000003, 0.5383, 0.0029000000000000002, 0.5... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(5) @ Z(2)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(8) @ Z(0)) + 8.0 * (Z(10) @ Z(3)) + 8.0 * (Z(9) @ Z(10)) + 8.0 * (Z(11) @ Z(10)) + 8.0 * (Z(11) @ Z(9)) + 8.0 * (Z(4) @ Z(11)) + -6.5 * Z(1) + 7.0 * Z(0) + 5.5 * Z(2) + 3.5 * Z(3) + 5.0 * Z(5) + 1.0 * Z(6) + -7.0 * Z(8) + 1... | 16 | 12 | 2 | {"smallest_eigenvalues": [-128.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -120.5, "smallest_bitstrings": ["010111011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.5755) q[0];
rz(-0.0023) q[0];
rx(-0.0025) q[1];
rz(2.0676) q[1];
rx(1.7557) q[2];
rz(0.0091) q[2];
rx(-0.0024) q[3];
rz(1.5849) q[3];
rx(0.0031) q[4];
rz(-0.6638) q[4];
rx(1.6927) q[5];
rz(-0.4047) q[5];
rx(-1.5552) q[6];
rz(0.4904) q[6];
rx(-0.0039) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
7c13ad0365481b8f4c94fe0692e944b8 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 6}, {"weight": 13, "source": 0, "target": 2}, {"weight": 14, "source": 1, "target": 5}, {... | {"states": [218, 122], "expectation_value": -17.717184423294096, "params": [[-0.038900000000000004, 0.0047], [0.0814, 0.0737]], "bitstrings": ["00100101", "10000101"], "total_optimization_steps": 10, "probabilities": [0.011546588799732029, 0.015302838061790943], "optimization_time": 3.1111042499542236} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 10.5 * Z(1) + 9.5 * Z(0) + 7.5 * Z(2) + 17.0 * Z(3) + 11... | 1 | 8 | 2 | {"smallest_eigenvalues": [-66.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.3112) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3112) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3112) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.3112) q[3];
cx q[0], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
ac36c5a153720f2afd43ce774542e80a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capaci... | {"states": [29, 31], "expectation_value": -4.372957453020678, "params": null, "bitstrings": ["100010", "100000"], "total_optimization_steps": 49, "probabilities": [0.2979775772741875, 0.44049318025090617], "optimization_time": 42.93964123725891} | -0.25 * (Z(0) @ Z(1)) + -2.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(3) + 2.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-10.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.25, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.5708) q[4];
cry(1.5708) q[3], q[1];
cry(1.5708) q[1], q[5];
cry(-1.5708) q[5], q[0];
ry(1.5486) q[2];
cry(0.7984) q[5], q[3];
ry(-0.1772) q[1];
cry(-0.0403) q[4], q[1];
cry(-0.0037) q[2], q[1];
cry(0.2525) q... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
a6890fa8abaf57f3780eb47e6c903e55 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"sour... | {"states": [36, 164], "expectation_value": -6.993129261240428, "params": [[-0.012100000000000001, 0.39880000000000004, 0.0799, 0.405, -0.0074, 0.0006000000000000001, 0.40800000000000003, 0.1786, 0.37410000000000004], [-0.0155, 0.4016, 0.067, 0.39990000000000003, -0.006500000000000001, -0.0002, 0.40280000000000005, 0.11... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) ... | 10 | 9 | 3 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -7.5, "smallest_bitstrings": ["100111101", "111011010", "101010111", "000111111", "101011011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0121) q[0];
ry(0.3988) q[1];
ry(0.0799) q[2];
ry(0.405) q[3];
ry(-0.0074) q[4];
ry(0.0006) q[5];
ry(0.408) q[6];
ry(0.1786) q[7];
ry(0.3741) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
2500973695191569336 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 4, 5], [2, 3, 4, 6], [0, 2], [0, 1, 4, 6], [0, 3, 5, 6], [1, 3, 6], [2, 3, 5, 6]]} | {"states": [23, 55], "expectation_value": -1.5883348727299886, "params": [0.0645, -0.8451000000000001, 0.061000000000000006, 0.0027, 0.8047000000000001, -0.4098, 0.7993, 0.0039000000000000003, 1.3904, 0.0014, 1.3772, 0.0037, 0.5867, -0.8270000000000001, 0.5851000000000001, 0.0047, 1.5686, -0.0021000000000000003, 1.5672... | 0.25 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.25 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(5)) + 0.416666... | 7 | 7 | 1 | {"smallest_eigenvalues": [-2.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9166666666666665, "smallest_bitstrings": ["1001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0645) q[0];
rz(-0.8451) q[0];
rx(0.8047) q[1];
rz(-0.4098) q[1];
rx(1.3904) q[2];
rz(0.0014) q[2];
rx(0.5867) q[3];
rz(-0.827) q[3];
rx(1.5686) q[4];
rz(-0.0021) q[4];
rx(1.5674) q[5];
rz(-0.0014) q[5];
rx(1.5675) q[6];
rz(-0.0031) q[6];
crz(-0.8259) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-6883076911453286230 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 2, 3], [10, 2, 5], [11, 4], [0, 10], [2, 11], [8, 11], [9, 4], [1, 6], [3, 7]]} | {"states": [859, 857], "expectation_value": -3.15265637243052, "params": [[[1.5726, 1.5728], [-1.5749, 1.5731000000000002], [1.5092, 1.5726], [1.5501, -0.9836], [1.5730000000000002, 1.5730000000000002], [1.5731000000000002, 1.5725], [1.5728, 1.5677], [1.5737, 1.5678], [1.5731000000000002, -0.7156], [1.5734000000000001,... | 0.16666666666666666 * (Z(11) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(11)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(11)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0... | 15 | 12 | 1 | {"smallest_eigenvalues": [-4.166666666666666, -4.166666666666666, -4.166666666666666, -4.166666666666666, -4.166666666666666, -4.166666666666666], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.8333333333333335, "smallest_bitstrings": ["100100011101", "011100000101", "001100001101", "100010101110", "11... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.5726) q[0];
ry(-1.5749) q[1];
ry(1.5092) q[2];
ry(1.5501) q[3];
ry(1.573) q[4];
ry(1.5731) q[5];
ry(1.5728) q[6];
ry(1.5737) q[7];
ry(1.5731) q[8];
ry(1.5734) q[9];
ry(1.5681) q[10];
ry(1.5728) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
082b6c86bc8d553008a81e548bf0a65e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [1, 3], "expectation_value": -13.011930750254537, "params": [0.008, -0.3307, 0.006500000000000001, -0.35350000000000004, -0.006, -0.3239, -0.0031000000000000003, -0.37070000000000003, -0.0162, -0.3125, 0.0032, -0.3561, 0.0091, -0.23870000000000002, -0.0016, -0.22210000000000002, -0.006900000000000001, -0.294... | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + -1.25 * (Z(7) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -1.5 * (Z(3) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(3)) + 2.25 * (Z(8) @ Z(0)) + -1.75 * (Z(8... | 5 | 9 | 4 | {"smallest_eigenvalues": [-13.5, -13.5, -13.5, -13.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -12.5, "smallest_bitstrings": ["111111100", "111001000", "111000000", "111011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.008) q[0];
rz(-0.3307) q[0];
rx(-0.006) q[1];
rz(-0.3239) q[1];
rx(-0.0162) q[2];
rz(-0.3125) q[2];
rx(0.0091) q[3];
rz(-0.2387) q[3];
rx(-0.0069) q[4];
rz(-0.2942) q[4];
rx(-0.0021) q[5];
rz(-0.2323) q[5];
rx(-0.0084) q[6];
rz(-0.3274) q[6];
rx(0.2103) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
30e28b56cad01a233ddf0894e9b7eaa8 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [110, 158], "expectation_value": -0.4734517988239697, "params": [[0.0611, 0.066, 0.06760000000000001, 0.0784], [-0.055200000000000006, -0.059000000000000004, -0.0541, -0.0682]], "bitstrings": ["10010001", "01100001"], "total_optimization_steps": 10, "probabilities": [0.008580263271118424, 0.00858026327111843... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(0) @ Z(2) @ Z(5)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(1) @ Z(3) @ Z(6)) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["10001010", "10010001", "01100001", "01001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.0611) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(0.0306) q[2];
cx q[3], q[2];
cx q[4], q[2];
rz(0.0306) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(0.0306) q[3];
cx q[4], q[3];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
1600da48c768639b2cb0d1bea5b2382e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [0, 253], "expectation_value": -3.5178746444887268, "params": [[[-0.0047, 0.6005], [-0.4138, 0.0057], [-0.0008, 0.0041], [0.0018000000000000002, 0.0016], [0.0022, 0.001], [0.0022, -0.003], [0.0033, 0.0016], [-0.0018000000000000002, -0.18030000000000002], [-0.004, 0.0026000000000000003]], [[0.0032, 0.0], [-0.... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(8)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.0 * Z(7)... | 15 | 9 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000000", "100000010", "100000110", "100010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0047) q[0];
ry(-0.4138) q[1];
ry(-0.0008) q[2];
ry(0.0018) q[3];
ry(0.0022) q[4];
ry(0.0022) q[5];
ry(0.0033) q[6];
ry(-0.0018) q[7];
ry(-0.004) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
-6632939688479136457 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 4], [1, 2], [0, 4], [2, 4], [2, 5], [1, 3]]} | {"states": [49, 56], "expectation_value": -1.792622467875188, "params": null, "bitstrings": ["001110", "000111"], "total_optimization_steps": 34, "probabilities": [0.06293656459290806, 0.7573817595366475], "optimization_time": 21.334616661071777} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["111000", "110001", "101100", "010011", "001110", "000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.0342) q[2], q[4];
cry(-1.0342) q[1], q[3];
ry(1.0293) q[1];
ry(-0.6992) q[3];
cry(-0.6534) q[0], q[4];
ry(1.0459) q[0];
cry(0.4252) q[0], q[1];
cry(-0.3563) q[1], q[4];
cry(-1.0342) q[2], q[5];
cry(0.7007)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[2], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
-16607058486848771 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 3, 5, 7, 8], [1, 3, 6, 7], [4, 6]]} | {"states": [250, 442], "expectation_value": -0.6923665259734118, "params": [[1.1342], [-0.4123]], "bitstrings": ["100000101", "001000101"], "total_optimization_steps": 120, "probabilities": [0.007695940881595716, 0.0076959408815957175], "optimization_time": 10.245973348617554} | 0.023809523809523808 * (Z(0) @ Z(1)) + 0.023809523809523808 * (Z(2) @ Z(1)) + 0.023809523809523808 * (Z(2) @ Z(0)) + 0.10714285714285714 * (Z(3) @ Z(1)) + 0.023809523809523808 * (Z(3) @ Z(0)) + 0.023809523809523808 * (Z(3) @ Z(2)) + 0.023809523809523808 * (Z(5) @ Z(1)) + 0.023809523809523808 * (Z(5) @ Z(0)) + 0.0238095... | 1 | 9 | 1 | {"smallest_eigenvalues": [-0.9404761904761907], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.9404761904761905, "smallest_bitstrings": ["001000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.054) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.054) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.054) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.243) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | null | {"circuits": [], "gradients": []} |
495033866122047723 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 5, 6], [0, 2, 3, 4, 6], [0, 2, 4, 5], [3, 4, 7], [1, 2, 4], [1, 4, 5, 6, 7], [3, 4, 5], [0, 1, 2, 5], [1, 2, 5, 7], [0, 1, 3, 4, 6]]} | {"states": [175, 207], "expectation_value": -1.6099840667440068, "params": [[0.46090000000000003], [-0.4122]], "bitstrings": ["01010000", "00110000"], "total_optimization_steps": 50, "probabilities": [0.01741352644918218, 0.017747739718907193], "optimization_time": 2.4042015075683594} | 0.41666666666666663 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.3 * (Z(5) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(2)) + 0.18333333333333335 * (Z(6) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(5)) + 0.21666666666666667 * (Z(0) @ Z(2)) + 0.13333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(5... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.3999999999999995], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.35, "smallest_bitstrings": ["00110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(0.3841) q[1];
cx q[2], q[1];
cx q[2], q[5];
rz(0.3073) q[5];
cx q[2], q[5];
cx q[1], q[5];
rz(0.2765) q[5];
cx q[1], q[5];
cx q[2], q[6];
rz(0.1229) q[6];
cx q[2], q[6];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
44bf747c04df002d53e645dfd7a3d1de | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}, ... | {"states": [44, 51], "expectation_value": -0.352040643179498, "params": [[0.0726, 0.07730000000000001], [-0.0627, -0.0704]], "bitstrings": ["1010011", "1001100"], "total_optimization_steps": 10, "probabilities": [0.010557487356278695, 0.011126271496458373], "optimization_time": 2.408498764038086} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(6) + 0.0 * Z(2) + -0.5 * Z(5) + -0.5 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0726) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.0726) q[3];
cx q[0], q[3];
cx q[0], q[6];
rz(0.0726) q[6];
cx q[0], q[6];
cx q[3], q[2];
rz(0.0726) q[2];
cx q[3], q[2];
cx q[3], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[... | null | {"circuits": [], "gradients": []} |
b2a86e79e509d0d76748a475959a4d60 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 6}, {"weight": 13, "source": 1, "target": 3}, {"weight": 3, "source": 2, "target": 3}, {"... | {"states": [117, 109], "expectation_value": -41.004218316278234, "params": null, "bitstrings": ["10001010", "10010010"], "total_optimization_steps": 100, "probabilities": [0.07928601898643785, 0.4494797943354079], "optimization_time": 165.80450463294983} | 4.0 * (Z(0) @ Z(2)) + 4.0 * (Z(1) @ Z(2)) + 4.0 * (Z(1) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 9.5 * Z(2) +... | 1 | 8 | 2 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(34.778) q[4];
ry(-0.2874) q[1];
ry(-19.9672) q[5];
ry(0.2906) q[7];
cry(-15.4417) q[7], q[4];
cry(-15.6787) q[7], q[1];
ry(1.8924) q[2];
ry(1.3648) q[3];
ry(0.0504) q[6];
cry(0.0242) q[3], q[6]... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(34.778) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
9ddcebaaa376040d7f40e787f62c4ee2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [170, 171], "expectation_value": -2.6338941366355533, "params": [[0.0025, 0.9974000000000001, -0.0122, 0.9857, 0.3612, 0.9975, -0.0339, 1.0038, 1.0054], [0.0026000000000000003, 0.9921000000000001, -0.0375, 0.9819, 0.29510000000000003, 0.9945, -0.009300000000000001, 0.451, 0.3682], [0.0023, 0.9921000000000001... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(4) @ Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) ... | 10 | 9 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.375, "smallest_bitstrings": ["111000100", "101001100", "101010100", "100110001", "101110000", "110000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0025) q[0];
ry(0.9974) q[1];
ry(-0.0122) q[2];
ry(0.9857) q[3];
ry(0.3612) q[4];
ry(0.9975) q[5];
ry(-0.0339) q[6];
ry(1.0038) q[7];
ry(1.0054) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
3bff779ab60a2b0177277978029588c0 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 7}, {"source": 3, "target": 4}, {"source": 4, "ta... | {"states": [5, 37], "expectation_value": -2.5163406932042656, "params": [0.003, 0.0027, 0.0025, 0.0031000000000000003, 0.7971, 0.7971, 0.561, 0.5641, 0.0011, 0.0028, 0.8077000000000001, 0.7997000000000001, 0.0021000000000000003, 0.0022, 0.8093, 0.8, -0.0027, 0.002, 0.558, 0.0059, 0.5645, 0.0077, -0.224, 0.0041, 0.2126,... | 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(2) @ Z(5) @ Z(4)) + 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(6) @ Z(0)) + 0.125 * (Z(7) @ Z(0)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(7) @ Z(1)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(6) @ Z(0) @ Z(1)) + -0.125 * (Z(0) @ Z(7) ... | 13 | 8 | 1 | {"smallest_eigenvalues": [-4.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.125, "smallest_bitstrings": ["11011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.003) q[0];
ry(0.0025) q[1];
ry(0.7971) q[2];
ry(0.561) q[3];
ry(0.0011) q[4];
ry(0.8077) q[5];
ry(0.0021) q[6];
ry(0.8093) q[7];
crz(-0.0027) q[7], q[0];
crz(0.5891) q[6], q[7];
crz(-0.0027) q[5], q[6];
crz(0.5213) q[4], q[5];
crz(0.2126) q[3], q[4];
crz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-6656420279382884463 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 3, 4, 6], [0, 2, 3, 5, 6, 7]]} | {"states": [244, 178], "expectation_value": -0.0038811226280964445, "params": [[-0.060000000000000005], [0.0703]], "bitstrings": ["00001011", "01001101"], "total_optimization_steps": 10, "probabilities": [0.003936986472004566, 0.003936990649294623], "optimization_time": 0.8712377548217773} | 0.03333333333333333 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.06666666666666667 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(1)) + 0.06666666666666667 * (Z(3) @ Z(0)) + 0.06666666666666667 * (Z(3) @ Z(2)) + 0.03333333333333333 * (Z(4) @ Z(1)) + 0.03333333333333333 * (Z(4) @ Z(0)) + 0.03333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -0.39999999999999997, "smallest_bitstrings": ["11000001", "01000110", "00011100", "01001101", "00011001", "00101001", "01010001", "01010100",... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.004) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.004) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.008) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.004) q[3];
cx q[1], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q... | null | {"circuits": [], "gradients": []} |
ec86dd03f1bc9f7a5980c14449900d15 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, ... | {"states": [9, 1], "expectation_value": -0.4880637677793099, "params": [[0.0579, 0.0522, -0.0704], [-0.0594, -0.058600000000000006, 0.0145]], "bitstrings": ["11110110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.005693208740353101, 0.005770683402823657], "optimization_time": 4.726621866226196} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(2)) + -0.75 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(4) @ ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.75, "smallest_bitstrings": ["11111110", "11111100", "11110110", "11110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.0579) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0579) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0579) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(-0.0579) q[5];
cx q[0], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
faf2b7fc4343189ac2e56cc09666a273 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": ... | {"states": [960, 963], "expectation_value": -16.83834171301484, "params": null, "bitstrings": ["0000111111", "0000111100"], "total_optimization_steps": 100, "probabilities": [0.12470579437527021, 0.44394921147559924], "optimization_time": 208.72844529151917} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 1.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + 1.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -1.0 * (Z(8) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["0000111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
ry(-1.5708) q[6];
ry(-1.5708) q[7];
ry(-1.5577) q[4];
ry(-1.5708) q[5];
cry(1.5706) q[0], q[2];
cry(1.5708) q[2], q[3];
cry(1.2391) q[3], q[0];
cry(1.5708) q[2], q[1];
cry(-0.799... | null | {"node": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5... |
7964371843859667389 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 1, 4, 5, 10, 12], [1, 2, 3, 5, 8], [0, 9, 2], [0, 2, 5, 6, 7, 8, 10, 11], [9, 3, 7], [1, 2, 3, 5, 7, 10, 12], [1, 5, 6, 8, 10, 12], [5, 6, 7, 9, 12]]} | {"states": [3310, 3566], "expectation_value": -1.6721299537347196, "params": [0.3255, 0.6503, 0.3301, 0.004, 1.4186, -0.0159, 1.1407, -0.0198, 1.5226000000000002, -0.0024000000000000002, 1.5291000000000001, 0.0022, 0.193, 0.7232000000000001, 0.1821, 0.6994, 0.8578, -0.116, 0.8607, 0.0094, 1.2981, 0.0112, 1.3968, -0.022... | 0.03333333333333333 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(4) @ Z(1)) + 0.03333333333333333 * (Z(4) @ Z(0)) + 0.14047619047619048 * (Z(5) @ Z(1)) + 0.05119047619047619 * (Z(5) @ Z(0)) + 0.03333333333333333 * (Z(5) @ Z(4)) + 0.09047619047619047 * (Z(10) @ Z(1)) + 0.05119047619047619 * (Z(10) @ Z(0)) + 0.033333333333... | 8 | 13 | 1 | {"smallest_eigenvalues": [-1.8357142857142859, -1.8357142857142859, -1.8357142857142859, -1.8357142857142859, -1.8357142857142859, -1.8357142857142859], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.817857142857143, "smallest_bitstrings": ["0100000001110", "0000010001100", "1001001000001", "0100010001... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.3255) q[0];
rz(0.6503) q[0];
rx(1.4186) q[1];
rz(-0.0159) q[1];
rx(1.5226) q[2];
rz(-0.0024) q[2];
rx(0.193) q[3];
rz(0.7232) q[3];
rx(0.8578) q[4];
rz(-0.116) q[4];
rx(1.2981) q[5];
rz(0.0112) q[5];
rx(1.5793) q[6];
rz(-0.0052) q[6];
rx(1.1585) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-8086572058537082369 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 7], [0, 1], [1, 7], [1, 5, 6], [4, 5, 6], [0, 3, 5], [0, 2, 4]]} | {"states": [173, 124], "expectation_value": -2.5323120649533823, "params": null, "bitstrings": ["01010010", "10000011"], "total_optimization_steps": 54, "probabilities": [0.030171862330001926, 0.8219482622641912], "optimization_time": 64.6616439819336} | 0.5 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(4)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8333333333333326, "smallest_bitstrings": ["10000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.4449) q[5];
cry(-1.0342) q[3], q[7];
ry(0.7029) q[3];
cry(-0.7102) q[1], q[7];
cry(1.1536) q[3], q[1];
cry(-1.3089) q[1], q[0];
ry(1.1651) q[4];
cry(-1.0742) q[1], q[6];
cry(0.5151) q[1], q[3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
480a390c56e3e13e55537753f027750e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"sour... | {"states": [308, 316], "expectation_value": -4.814795048074311, "params": [1.7096, 0.0011, 0.0044, 0.0032, -0.003, 0.0048000000000000004, 1.7111, 0.0007, 1.7131, 0.0073, 1.6451, 0.0094, 1.7066000000000001, 0.01, -0.0031000000000000003, 0.0053, 0.0029000000000000002, 0.003, 0.0059, 0.0092, 0.0081, 0.007200000000000001, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + -1.5 * Z(1) + 0.0 * Z(0) + -1.5 * ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["011000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.7096) q[0];
rz(0.0011) q[0];
rx(0.0044) q[1];
rz(0.0032) q[1];
rx(-0.003) q[2];
rz(0.0048) q[2];
rx(1.7111) q[3];
rz(0.0007) q[3];
rx(1.7131) q[4];
rz(0.0073) q[4];
rx(1.6451) q[5];
rz(0.0094) q[5];
rx(1.7066) q[6];
rz(0.01) q[6];
rx(-0.0031) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
17cd9690776ef862a22ab9b1dedee537 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [69, 42], "expectation_value": -0.5929478292807779, "params": [[-0.0732, -0.0751], [0.0703, 0.0737]], "bitstrings": ["0111010", "1010101"], "total_optimization_steps": 10, "probabilities": [0.011378950135294143, 0.011383049860980465], "optimization_time": 3.194974899291992} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(5) + 0.0 * Z(6) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1110100", "1101100", "1010101", "0110110", "0111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0732) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0732) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0732) q[2];
cx q[0], q[2];
cx q[0], q[5];
rz(-0.0732) q[5];
cx q[0], q[5];
cx q[1], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
58ab9b57bb5d3ba1983e43d3f29bec32 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 2, "target": 1}]} | {"states": [1, 3], "expectation_value": -4.124360376889934, "params": null, "bitstrings": ["1110", "1100"], "total_optimization_steps": 10, "probabilities": [0.4168911639926725, 0.42669893022981115], "optimization_time": 3.048551559448242} | -0.75 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -1.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(3) + 1.0 * Z(2) | 1 | 4 | 3 | {"smallest_eigenvalues": [-4.75, -4.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["1110", "1100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-1.5708) q[1];
cry(-1.5681) q[3], q[0];
ry(1.231) q[3];
ry(-0.6451) q[0];
cry(0.2801) q[2], q[3];
cry(-0.1165) q[2], q[0];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3]; | null | {"source": 0, "sink": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... |
3abcce9513e11040f35ea0404295b39b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target":... | {"states": [608, 610], "expectation_value": -7.533403608767577, "params": [[[3.1465, 0.0053], [0.0021000000000000003, 0.0067], [0.0024000000000000002, 0.0022], [3.1398, 0.0002], [3.1397, 0.0089], [-0.006500000000000001, 0.0089], [0.0028, 0.0077], [-0.003, 0.0039000000000000003], [1.6377000000000002, 0.0092], [0.0021000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -7.0, "smallest_bitstrings": ["1110001101", "0110011101", "0011111010", "0011110011", "1100011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(3.1465) q[0];
rz(0.0053) q[0];
rx(0.0021) q[1];
rz(0.0067) q[1];
rx(0.0024) q[2];
rz(0.0022) q[2];
rx(3.1398) q[3];
rz(0.0002) q[3];
rx(3.1397) q[4];
rz(0.0089) q[4];
rx(-0.0065) q[5];
rz(0.0089) q[5];
rx(0.0028) q[6];
rz(0.0077) q[6];
rx(-0.003) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
4551088094349489485 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 5], [2, 5, 6], [0, 3], [4, 6], [1, 7]]} | {"states": [172, 396], "expectation_value": -0.03808183210591839, "params": [[-0.06380000000000001], [0.0737]], "bitstrings": ["101010011", "001110011"], "total_optimization_steps": 10, "probabilities": [0.002102116242899509, 0.002102116242899509], "optimization_time": 2.040421485900879} | 0.16666666666666666 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.16666666666666663 * Z(1)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -1.833333333333334, "... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[8];
rz(-0.0213) q[8];
cx q[1], q[8];
cx q[1], q[5];
rz(-0.0213) q[5];
cx q[1], q[5];
cx q[8], q[5];
rz(-0.0213) q[5];
cx q[8], q[5];
cx q[5], q[2];
rz(-0.0213) q[2];
cx q[5], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[8];
rz(x0) q[8];
cx q[1], q[8];
cx q[1], q[5];
rz(x0) q[5];
cx q[1], q[5];
cx... | null | {"circuits": [], "gradients": []} |
c508ed0753e7f28a56c3d421944e1b14 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": ... | {"states": [863, 991], "expectation_value": -11.924340570934502, "params": null, "bitstrings": ["0010100000", "0000100000"], "total_optimization_steps": 100, "probabilities": [0.10358538122493581, 0.39803051191696487], "optimization_time": 244.13204860687256} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(9)) + -2.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(9)) + -2.0 * (Z(7) @ Z(6)) + 0.5 ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-18.5, -18.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["1111100000", "0000100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5708) q[4], q[2];
cry(1.5708) q[2], q[1];
cry(1.5708) q[2], q[0];
cry(1.5708) q[9], q[6];
ry(1.0383) q[9];
cry(1.5708) q[6], q[7];
cry(0.2441) q[7], q[6];
cry(1.5708) q[1],... | null | {"node": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... |
843c0b844102c976bf0e3bde4e8ae7cf | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [97, 21], "expectation_value": -0.1588191263175, "params": [[0.06620000000000001], [-0.0545]], "bitstrings": ["0011110", "1101010"], "total_optimization_steps": 10, "probabilities": [0.008681364881450724, 0.008681364881450729], "optimization_time": 1.5195975303649902} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + -1.0 * Z(5) + -1.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101010", "0011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.0662) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(0.0662) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(0.0662) q[5];
cx q[0], q[5];
cx q[4], q[5];
rz(0.0662) q[5];
cx q[4], q[5];
cx q[2], q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q... | null | {"circuits": [], "gradients": []} |
a2ddde559fc9aeb004a8b74765861122 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "... | {"states": [4095, 3839], "expectation_value": -18.017889105911756, "params": [[[0.0023, 3.1601000000000004], [0.0019, 0.0022], [0.0023, 0.002], [1.6094000000000002, -0.003], [0.0027, 0.003], [0.0033, -0.003], [0.0019, 0.0027], [0.0019, 0.0019], [-0.0033, 0.0026000000000000003], [0.0021000000000000003, 0.0027], [-0.0023... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(9)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * (Z(10) @ Z(11)) + -1.5 * (Z(2) @ Z(11)) + -1.5 * (Z(2) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(9) + 0.5 * Z(7... | 15 | 12 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["000100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0023) q[0];
ry(0.0019) q[1];
ry(0.0023) q[2];
ry(1.6094) q[3];
ry(0.0027) q[4];
ry(0.0033) q[5];
ry(0.0019) q[6];
ry(0.0019) q[7];
ry(-0.0033) q[8];
ry(0.0021) q[9];
ry(-0.0023) q[10];
ry(0.0023) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"node": 12} | {"circuits": [], "gradients": []} |
222da723e9a46931eb34c7c524cc180a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 7}, {"capac... | {"states": [1, 129], "expectation_value": -8.658012034481951, "params": null, "bitstrings": ["1111111110", "1101111110"], "total_optimization_steps": 33, "probabilities": [0.4065390134535898, 0.4225423324752114], "optimization_time": 56.998669385910034} | -0.25 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.5 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(4)) + -0.75 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(1)) + 1.25 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(1)) + -0.25 * (Z(9) @ Z(8)) + -0.25 * (Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -8.0, "smallest_bitstrings": ["1111111110", "1001111110", "1101111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
ry(-1.5681) q[7];
cry(-1.5681) q[9], q[0];
ry(1.1029) q[9];
ry(-0.5495) q[0];
ry(-1.5508) q[4];
ry(-1.5653) q[3];
ry(-1.5707) q[8];
ry(-1.5706) q[5];
ry(-1.5681) q[6];
ry(-1.2455... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5681) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5... |
a093ae3716e2ae1185108c6b332a6413 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [7644, 7646], "expectation_value": -2.4514440244836706, "params": [[[0.1885, 0.0041, 0.007500000000000001, 0.0041], [1.4986000000000002, -0.0031000000000000003, 0.8269000000000001, 0.0025], [1.6126, 0.0038, 0.0004, 0.0038], [0.3851, 0.013800000000000002, 1.5874000000000001, 0.002], [0.0548, 0.0025, 0.0034000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(5) @ Z(0) @ Z(6)) + -0.125 * (Z(5) @ Z(0) ... | 12 | 14 | 1 | {"smallest_eigenvalues": [-4.624999999999991, -4.624999999999991], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.624999999999986, "smallest_bitstrings": ["10001000100001", "01001010100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
ry(0.1885) q[0];
rz(0.0041) q[0];
ry(1.4986) q[1];
rz(-0.0031) q[1];
ry(1.6126) q[2];
rz(0.0038) q[2];
ry(0.3851) q[3];
rz(0.0138) q[3];
ry(0.0548) q[4];
rz(0.0025) q[4];
ry(0.5125) q[5];
rz(0.0028) q[5];
ry(1.6121) q[6];
rz(0.0079) q[6];
ry(0.3899) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
1709095136500400550 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 4, 7], [0, 1, 2, 3, 7, 8], [1, 2, 4, 5, 6, 7], [2, 5, 6, 7, 8], [1, 3, 4, 5, 7, 8], [0, 1, 3, 5, 6, 8], [0, 1, 2, 4], [0, 1, 2, 6], [0, 1, 4, 6, 7, 8], [0, 2, 5], [1, 2, 3, 6, 8]]} | {"states": [398, 430], "expectation_value": -2.038251104149462, "params": [[[3.1455, 0.004200000000000001], [3.1445000000000003, 0.007200000000000001], [0.8354, 0.0038], [1.5858, 0.0006000000000000001], [0.885, 0.0009000000000000001], [3.1401000000000003, 0.0053], [3.161, 0.006], [3.1455, 0.0008], [0.8822000000000001, ... | 0.15 * (Z(0) @ Z(3)) + 0.11666666666666667 * (Z(4) @ Z(3)) + 0.19999999999999998 * (Z(4) @ Z(0)) + 0.15 * (Z(7) @ Z(3)) + 0.15 * (Z(7) @ Z(0)) + 0.18333333333333332 * (Z(7) @ Z(4)) + 0.15000000000000002 * (Z(1) @ Z(3)) + 0.26666666666666666 * (Z(1) @ Z(0)) + 0.18333333333333332 * (Z(1) @ Z(4)) + 0.13333333333333333 * (... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.3666666666666663], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.283333333333333, "smallest_bitstrings": ["001010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(3.1455) q[0];
rz(0.0042) q[0];
rx(3.1445) q[1];
rz(0.0072) q[1];
rx(0.8354) q[2];
rz(0.0038) q[2];
rx(1.5858) q[3];
rz(0.0006) q[3];
rx(0.885) q[4];
rz(0.0009) q[4];
rx(3.1401) q[5];
rz(0.0053) q[5];
rx(3.161) q[6];
rz(0.006) q[6];
rx(3.1455) q[7];
rz(0.000... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
-3108337598621329208 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 3, 7], [0, 6, 7], [0, 1, 2, 3], [0, 1, 5, 6], [1, 4, 6], [2, 4, 6, 7], [8, 1, 4, 0], [8, 3, 5], [8, 1, 6], [0, 1, 3, 5], [8, 4, 5, 6]]} | {"states": [309, 373], "expectation_value": -1.2567994566015388, "params": [[0.2726], [-0.2701]], "bitstrings": ["011001010", "010001010"], "total_optimization_steps": 30, "probabilities": [0.0048358454716084884, 0.005042940521842082], "optimization_time": 5.3108484745025635} | 0.3333333333333333 * (Z(8) @ Z(1)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(8)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333333, "smallest_bitstrings": ["010001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[8];
rz(0.1817) q[8];
cx q[1], q[8];
cx q[1], q[3];
rz(0.1363) q[3];
cx q[1], q[3];
cx q[8], q[3];
rz(0.1363) q[3];
cx q[8], q[3];
cx q[1], q[7];
rz(0.0454) q[7];
cx q[1], q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
-2248723971481903880 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 6], [8, 7], [1, 3], [1, 4], [8, 1], [0, 4], [2, 4], [8, 2], [8, 4], [5, 7], [0, 2], [2, 7], [0, 5], [3, 6], [8, 5], [0, 6]]} | {"states": [305, 291], "expectation_value": -0.6870937574939312, "params": [0.7072, -0.0006000000000000001, 0.7043, 0.0021000000000000003, 0.6996, 0.0056, 0.6863, 0.006900000000000001, 0.7002, 0.00030000000000000003, 0.6944, 0.008400000000000001, 0.7104, -0.0017000000000000001, 0.7000000000000001, 0.0035, 0.70700000000... | 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["100100011", "011011100", "100110011", "011001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.7072) q[0];
rz(-0.0006) q[0];
rx(0.6996) q[1];
rz(0.0056) q[1];
rx(0.7002) q[2];
rz(0.0003) q[2];
rx(0.7104) q[3];
rz(-0.0017) q[3];
rx(0.707) q[4];
rz(-0.009) q[4];
rx(0.6952) q[5];
rz(-0.0006) q[5];
rx(0.6964) q[6];
rz(-0.0023) q[6];
rx(0.704) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
317507523039185204 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[1, 2], [2, 4], [0, 2], [1, 3]]} | {"states": [6, 25], "expectation_value": -0.00037457567861680363, "params": [[0.0037], [-0.0128]], "bitstrings": ["11001", "00110"], "total_optimization_steps": 10, "probabilities": [0.031273414230033325, 0.031273414230033325], "optimization_time": 1.7030744552612305} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["11001", "00110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[1];
rz(0.0037) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(0.0037) q[4];
cx q[2], q[4];
cx q[2], q[0];
rz(0.0037) q[0];
cx q[2], q[0];
cx q[1], q[3];
rz(0.0037) q[3];
cx q[1], q[3];
rz(0) q[2];
rz(0) q[1];
rz(0) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(x0) q[4];
cx q[2], q[4];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[1], q[3];
rz(x0) q[3];
cx ... | null | {"circuits": [], "gradients": []} |
d94808e5cc9b60725b159cb308a4d8c1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capaci... | {"states": [21, 29], "expectation_value": -6.808944959273738, "params": null, "bitstrings": ["101010", "100010"], "total_optimization_steps": 26, "probabilities": [0.4264570687841214, 0.4267568391128236], "optimization_time": 18.112828016281128} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -1.25 * (Z(2) @ Z(3)) + 1.25 * Z(1) + -0.25 * Z(0) + 1.25 * Z(3) + -1.5 * Z(4) + 0.5 * Z(5) + -1.25 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["100010", "101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[4];
cry(-1.5706) q[5], q[0];
ry(1.068) q[5];
ry(1.5708) q[3];
cry(1.5707) q[3], q[1];
cry(-0.3714) q[3], q[0];
cry(0.3292) q[1], q[5];
cry(-0.2768) q[1], q[0];
cry(0.1166) q[3], q[5];
ry(-0.0924) q[... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
89f9d52c565383e4dbce8a5723ffbf81 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1102, 1101], "expectation_value": -83.68258592007062, "params": [[[0.6989000000000001, 0.154], [-0.00030000000000000003, 0.10450000000000001], [0.1986, 0.0037], [0.0339, 0.0354], [0.7022, 0.5289], [-0.0801, 0.5650000000000001], [-0.2661, 0.18230000000000002], [0.092, 0.7041000000000001], [0.0887, 0.52670000... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(4) @ Z(0)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(7) @ Z(0)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(9) @ Z(8)) + 7.0 * (Z(10) @ Z(1)) + 7.0 * (Z(10) @ Z(8)) + 7.0 * (Z(10) @ Z(9)) + 1.0 * Z(1) + 17.0 * Z(0) + 13.5 * Z(4) + -5.0 * Z(5) + 17.0 * Z(7) + 0.5 * ... | 15 | 11 | 3 | {"smallest_eigenvalues": [-114.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -105.5, "smallest_bitstrings": ["01110110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.6989) q[0];
ry(-0.0003) q[1];
ry(0.1986) q[2];
ry(0.0339) q[3];
ry(0.7022) q[4];
ry(-0.0801) q[5];
ry(-0.2661) q[6];
ry(0.092) q[7];
ry(0.0887) q[8];
ry(0.468) q[9];
ry(0.6918) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
59517442da8e0a3ab64f5fee3f7d688d | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target":... | {"states": [0, 480], "expectation_value": -2.432014112506768, "params": [[0.0743], [-0.057600000000000005]], "bitstrings": ["111111111", "000011111"], "total_optimization_steps": 10, "probabilities": [0.003739057176753365, 0.003921270236188323], "optimization_time": 0.768284797668457} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -3.0 * (Z(4) @ Z(5)) + -3.0 * (Z(6) @ Z(5)) + -3.0 * (Z(6) @ Z(4)) + 1.5 * (Z(7) @ Z(5)) + -2.5 * (Z(7) @ Z(4)) + -3.0 * (Z(7) @ Z(6)) + -2.5 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(4)) + -... | 1 | 9 | 1 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.0, "smallest_bitstrings": ["000011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.2972) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2972) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2972) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2972) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
... | {"node": 8} | {"circuits": [], "gradients": []} |
a6185cd97776fd1963001ba05fdb92ce | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [256, 255], "expectation_value": -11.775970696279126, "params": [[[-0.0013000000000000002, -0.006], [-0.0028, -0.0002], [-0.002, -0.002], [-0.004, -0.0017000000000000001], [0.0039000000000000003, -0.0021000000000000003], [-0.0046, -0.0026000000000000003], [0.09720000000000001, 0.0032], [-0.0056, -0.001200000... | -0.25 * (Z(0) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 1.5 * (Z(8) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.25 * (Z(1) @ Z(2)) + -1.5 * (Z(3) @ Z(4)) + -1.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(8)) + -1.75 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(1)) + -1.0 * (Z(7) @ Z(4)) + -1.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(6) @... | 15 | 9 | 2 | {"smallest_eigenvalues": [-12.5, -12.5, -12.5, -12.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -11.5, "smallest_bitstrings": ["100000000", "111000000", "101000000", "111101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0013) q[0];
ry(-0.0028) q[1];
ry(-0.002) q[2];
ry(-0.004) q[3];
ry(0.0039) q[4];
ry(-0.0046) q[5];
ry(0.0972) q[6];
ry(-0.0056) q[7];
ry(1.6467) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
36bc612e0322886e175cda5a18a8b6d9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [124, 122], "expectation_value": -28.134834674668095, "params": [[-0.027100000000000003, 0.0024000000000000002, 0.0007, -0.0011], [0.046200000000000005, 0.036500000000000005, 0.049600000000000005, 0.061200000000000004]], "bitstrings": ["10000011", "10000101"], "total_optimization_steps": 10, "probabilities":... | 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(0) @ Z(4)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 20.5 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[4];
rz(-0.2439) q[4];
cx q[1], q[4];
cx q[1], q[0];
rz(-0.2439) q[0];
cx q[1], q[0];
cx q[4], q[0];
rz(-0.2439) q[0];
cx q[4], q[0];
cx q[1], q[3];
rz(-0.2439) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
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